Ananthanarayan, B.; Bera, Souvik; Friot, S.; Marichev, O.; Pathak, Tanay On the evaluation of the Appell \(F_2\) double hypergeometric function. (English) Zbl 07700411 Comput. Phys. Commun. 284, Article ID 108589, 28 p. (2023). MSC: 33F10 33F05 33C05 33C65 65D20 PDFBibTeX XMLCite \textit{B. Ananthanarayan} et al., Comput. Phys. Commun. 284, Article ID 108589, 28 p. (2023; Zbl 07700411) Full Text: DOI arXiv
Zima, E. V. On the structure of solutions to the key Gosper equation in problems of symbolic summation. (English. Russian original) Zbl 07681772 Comput. Math. Math. Phys. 63, No. 1, 40-47 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 43-50 (2023). MSC: 33F10 12D05 65D15 68W30 PDFBibTeX XMLCite \textit{E. V. Zima}, Comput. Math. Math. Phys. 63, No. 1, 40--47 (2023; Zbl 07681772); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 1, 43--50 (2023) Full Text: DOI
Ercolani, Nicholas; Lega, Joceline; Tippings, Brandon Multiple scale asymptotics of map enumeration. (English) Zbl 1514.37059 Nonlinearity 36, No. 3, 1663-1698 (2023). MSC: 37E30 37E15 39A36 33C45 41A60 05C30 05A16 PDFBibTeX XMLCite \textit{N. Ercolani} et al., Nonlinearity 36, No. 3, 1663--1698 (2023; Zbl 1514.37059) Full Text: DOI arXiv
Makarov, V. L.; Makarov, S. V. Lagerra-Kelly functions and related polynomials. (Ukrainian. English summary) Zbl 1513.33052 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 5, 3-9 (2022). MSC: 33E12 33C45 42C05 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{S. V. Makarov}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2022, No. 5, 3--9 (2022; Zbl 1513.33052) Full Text: DOI
Milgram, Michael Some additions to a family of sums and integrals related to Hurwitz’ zeta function(s), Euler polynomials and Euler numbers. (English) Zbl 1509.11080 Sci., Ser. A, Math. Sci. (N.S.) 32, 7-30 (2022). Reviewer: Giovanni Coppola (Napoli) MSC: 11M06 11M35 30B40 30E20 33C20 33C47 33E20 PDFBibTeX XMLCite \textit{M. Milgram}, Sci., Ser. A, Math. Sci. (N.S.) 32, 7--30 (2022; Zbl 1509.11080) Full Text: arXiv Link
Xia, Ernest X. W.; Zhao, Alice X. H. Generalizations of Hirschhorn’s results on two remarkable \(q\)-series expansions. (English) Zbl 1516.33013 Exp. Math. 31, No. 3, 878-882 (2022). MSC: 33D15 11B65 11F11 30B10 PDFBibTeX XMLCite \textit{E. X. W. Xia} and \textit{A. X. H. Zhao}, Exp. Math. 31, No. 3, 878--882 (2022; Zbl 1516.33013) Full Text: DOI
Teguia Tabuguia, Bertrand; Koepf, Wolfram Symbolic conversion of holonomic functions to hypergeometric type power series. (English. Russian original) Zbl 1509.33008 Program. Comput. Softw. 48, No. 2, 125-146 (2022); translation from Programmirovanie 48, No. 2, (2022). MSC: 33C20 33F10 68W30 PDFBibTeX XMLCite \textit{B. Teguia Tabuguia} and \textit{W. Koepf}, Program. Comput. Softw. 48, No. 2, 125--146 (2022; Zbl 1509.33008); translation from Programmirovanie 48, No. 2, (2022) Full Text: DOI
Yaşar, Elif; Yalçin, Sibel Close-to-convexity of a class of harmonic mappings defined by a third-order differential inequality. (English) Zbl 1493.30044 Turk. J. Math. 45, No. 2, 678-694 (2021). MSC: 30C45 30C80 PDFBibTeX XMLCite \textit{E. Yaşar} and \textit{S. Yalçin}, Turk. J. Math. 45, No. 2, 678--694 (2021; Zbl 1493.30044) Full Text: DOI
Chudasama, Meera H. A new extension of Bessel function. (English) Zbl 1484.33012 Commun. Korean Math. Soc. 36, No. 2, 277-298 (2021). MSC: 33C20 33B10 34A35 PDFBibTeX XMLCite \textit{M. H. Chudasama}, Commun. Korean Math. Soc. 36, No. 2, 277--298 (2021; Zbl 1484.33012) Full Text: DOI
Lamiri, I.; Weslati, J. Limit relations involving 2-orthogonal polynomials. (English) Zbl 1482.33006 Integral Transforms Spec. Funct. 32, No. 5-8, 545-559 (2021). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{I. Lamiri} and \textit{J. Weslati}, Integral Transforms Spec. Funct. 32, No. 5--8, 545--559 (2021; Zbl 1482.33006) Full Text: DOI
Pessia, Alberto; Tang, Jing A three-term recurrence relation for accurate evaluation of transition probabilities of the simple birth-and-death process. (English) Zbl 1471.65220 BIT 61, No. 2, 561-585 (2021). MSC: 65Q30 60J80 33C05 62M05 PDFBibTeX XMLCite \textit{A. Pessia} and \textit{J. Tang}, BIT 61, No. 2, 561--585 (2021; Zbl 1471.65220) Full Text: DOI arXiv
Koepf, Wolfram Orthogonal polynomials and computer algebra. (English) Zbl 1443.33019 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 479-493 (2020). MSC: 33C45 68W30 PDFBibTeX XMLCite \textit{W. Koepf}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 479--493 (2020; Zbl 1443.33019) Full Text: DOI
Wouodjié, Merlin Mouafo On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions. (English) Zbl 1443.33005 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 137-154 (2020). MSC: 33C10 33C20 34B30 PDFBibTeX XMLCite \textit{M. M. Wouodjié}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 137--154 (2020; Zbl 1443.33005) Full Text: DOI Link
Koepf, Wolfram Computer algebra, power series and summation. (English) Zbl 1443.33035 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 113-136 (2020). MSC: 33F10 33C20 68W30 PDFBibTeX XMLCite \textit{W. Koepf}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 113--136 (2020; Zbl 1443.33035) Full Text: DOI
Nangho, Maurice Kenfack Generating functions and hypergeometric representations of classical continuous orthogonal polynomials. (English) Zbl 1443.33022 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 45-59 (2020). MSC: 33C45 PDFBibTeX XMLCite \textit{M. K. Nangho}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 45--59 (2020; Zbl 1443.33022) Full Text: DOI
Mouafo Wouodjié, Merlin; Koepf, Wolfram On the solutions of holonomic third-order linear irreducible differential equations in terms of hypergeometric functions. (English) Zbl 1454.34005 J. Symb. Comput. 101, 202-241 (2020). MSC: 34A05 34A30 33C45 PDFBibTeX XMLCite \textit{M. Mouafo Wouodjié} and \textit{W. Koepf}, J. Symb. Comput. 101, 202--241 (2020; Zbl 1454.34005) Full Text: DOI Link
Capdeville, G. Compact high-order numerical schemes for scalar hyperbolic partial differential equations. (English) Zbl 1422.65147 J. Comput. Appl. Math. 363, 171-210 (2020). MSC: 65M06 65M20 65M08 65T50 68W30 33C45 65F25 PDFBibTeX XMLCite \textit{G. Capdeville}, J. Comput. Appl. Math. 363, 171--210 (2020; Zbl 1422.65147) Full Text: DOI
Johansson, Fredrik Computing hypergeometric functions rigorously. (English) Zbl 1486.65026 ACM Trans. Math. Softw. 45, No. 3, Article No. 30, 26 p. (2019). MSC: 65D20 33F05 65G30 PDFBibTeX XMLCite \textit{F. Johansson}, ACM Trans. Math. Softw. 45, No. 3, Article No. 30, 26 p. (2019; Zbl 1486.65026) Full Text: DOI arXiv
Gavrilyuk, I.; Makarov, V. Resonant equations with classical orthogonal polynomials. II. (English) Zbl 1441.34049 Ukr. Math. J. 71, No. 4, 519-536 (2019) and Ukr. Mat. Zh. 71, No. 4, 455-470 (2019). MSC: 34C15 34A05 34A45 34B09 33C45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} and \textit{V. Makarov}, Ukr. Math. J. 71, No. 4, 519--536 (2019; Zbl 1441.34049) Full Text: DOI
Gavrilyuk, I.; Makarov, V. Resonant equations with classical orthogonal polynomials. I. (English) Zbl 1437.34043 Ukr. Math. J. 71, No. 2, 215-236 (2019) and Ukr. Mat. Zh. 71, No. 2, 190-209 (2019). MSC: 34C15 34A05 34A45 34B09 33C45 PDFBibTeX XMLCite \textit{I. Gavrilyuk} and \textit{V. Makarov}, Ukr. Math. J. 71, No. 2, 215--236 (2019; Zbl 1437.34043) Full Text: DOI
Sun, Brian Y. Proof of a conjecture by Wiemann and Cooper. (English) Zbl 1463.11050 Ars Comb. 143, 299-307 (2019). MSC: 11B39 33C05 PDFBibTeX XMLCite \textit{B. Y. Sun}, Ars Comb. 143, 299--307 (2019; Zbl 1463.11050)
Tcheutia, Daniel Duviol Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a \(q\)-quadratic lattice. (English) Zbl 1484.65333 J. Difference Equ. Appl. 25, No. 7, 969-993 (2019). MSC: 65Q10 65Q30 33C45 33D45 33F99 PDFBibTeX XMLCite \textit{D. D. Tcheutia}, J. Difference Equ. Appl. 25, No. 7, 969--993 (2019; Zbl 1484.65333) Full Text: DOI arXiv
Kenfack Nangho, M.; Foupouagnigni, M.; Koepf, W. On exponential and trigonometric functions on nonuniform lattices. (English) Zbl 1431.33019 Ramanujan J. 49, No. 1, 1-37 (2019). Reviewer: Nasser Saad (Charlottetown) MSC: 33D15 33D45 PDFBibTeX XMLCite \textit{M. Kenfack Nangho} et al., Ramanujan J. 49, No. 1, 1--37 (2019; Zbl 1431.33019) Full Text: DOI
Lundengård, Karl; Österberg, Jonas; Silvestrov, Sergei Optimization of the determinant of the Vandermonde matrix and related matrices. (English) Zbl 1458.33006 Methodol. Comput. Appl. Probab. 20, No. 4, 1417-1428 (2018). MSC: 33C45 08B99 15B99 62K05 PDFBibTeX XMLCite \textit{K. Lundengård} et al., Methodol. Comput. Appl. Probab. 20, No. 4, 1417--1428 (2018; Zbl 1458.33006) Full Text: DOI
Hosseinpour, Soleiman; Nazemi, Alireza; Tohidi, Emran A new approach for solving a class of delay fractional partial differential equations. (English) Zbl 1407.65214 Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018). MSC: 65M70 35R11 44A10 42C10 65D32 33C45 PDFBibTeX XMLCite \textit{S. Hosseinpour} et al., Mediterr. J. Math. 15, No. 6, Paper No. 218, 20 p. (2018; Zbl 1407.65214) Full Text: DOI
Batic, D.; Mills, D.; Nowakowski, M. Semicommuting and commuting operators for the Heun family. (English. Russian original) Zbl 1401.33007 Theor. Math. Phys. 195, No. 1, 494-512 (2018); translation from Teor. Mat. Fiz. 195, No. 1, 6-26 (2018). MSC: 33C15 PDFBibTeX XMLCite \textit{D. Batic} et al., Theor. Math. Phys. 195, No. 1, 494--512 (2018; Zbl 1401.33007); translation from Teor. Mat. Fiz. 195, No. 1, 6--26 (2018) Full Text: DOI arXiv
Batic, Davide; Forrest, O.; Nowakowski, M. New indefinite integrals of Heun functions. (English) Zbl 1396.33040 Integral Transforms Spec. Funct. 29, No. 10, 794-804 (2018). MSC: 33E30 33C05 33C55 33E05 PDFBibTeX XMLCite \textit{D. Batic} et al., Integral Transforms Spec. Funct. 29, No. 10, 794--804 (2018; Zbl 1396.33040) Full Text: DOI arXiv
Bobylev, Alexander; Gamba, Irene M.; Zhang, Chenglong On the rate of relaxation for the Landau kinetic equation and related models. (English) Zbl 1377.35202 J. Stat. Phys. 168, No. 3, 535-548 (2017). MSC: 35P05 15A18 42C05 33C45 35B40 35Q20 65L04 PDFBibTeX XMLCite \textit{A. Bobylev} et al., J. Stat. Phys. 168, No. 3, 535--548 (2017; Zbl 1377.35202) Full Text: DOI
Mathai, A. M.; Haubold, H. J. Fractional and multivariable calculus. Model building and optimization problems. (English) Zbl 1376.26001 Springer Optimization and Its Applications 122. Cham: Springer (ISBN 978-3-319-59992-2/hbk; 978-3-319-59993-9/ebook). xiii, 234 p. (2017). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26-02 26A33 15B57 60B20 62E15 33C60 40C05 PDFBibTeX XMLCite \textit{A. M. Mathai} and \textit{H. J. Haubold}, Fractional and multivariable calculus. Model building and optimization problems. Cham: Springer (2017; Zbl 1376.26001) Full Text: DOI
Navas-Palencia, Guillermo; Arratia, Argimiro On the computation of confluent hypergeometric functions for large imaginary part of parameters \(b\) and \(z\). (English) Zbl 1437.33006 Greuel, Gert-Martin (ed.) et al., Mathematical software – ICMS 2016. 5th international conference, Berlin, Germany, July 11–14, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9725, 241-248 (2016). Reviewer: Rob Corless (London, ON) MSC: 33C15 33F05 68W30 PDFBibTeX XMLCite \textit{G. Navas-Palencia} and \textit{A. Arratia}, Lect. Notes Comput. Sci. 9725, 241--248 (2016; Zbl 1437.33006) Full Text: DOI
Chudasama, Meera H.; Dave, B. I. Some new class of special functions suggested by the confluent hypergeometric function. (English) Zbl 1339.33001 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 62, No. 1, 23-38 (2016). MSC: 33B10 33C20 34A35 PDFBibTeX XMLCite \textit{M. H. Chudasama} and \textit{B. I. Dave}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 62, No. 1, 23--38 (2016; Zbl 1339.33001) Full Text: DOI
Borwein, Jonathan M.; Sinnamon, Corwin W. A closed form for the density functions of random walks in odd dimensions. (English) Zbl 1347.60049 Bull. Aust. Math. Soc. 93, No. 2, 330-339 (2016). Reviewer: Peter Kern (Düsseldorf) MSC: 60G50 33C20 PDFBibTeX XMLCite \textit{J. M. Borwein} and \textit{C. W. Sinnamon}, Bull. Aust. Math. Soc. 93, No. 2, 330--339 (2016; Zbl 1347.60049) Full Text: DOI
Kumar, B. R. Srivatsa; Navada, B. Sowmya; Nayak, Ranjani Some identities on Schläfli-type mixed modular equations. (English) Zbl 1377.11049 Notes Number Theory Discrete Math. 21, No. 1, 86-91 (2015). MSC: 11F27 11B65 33D15 33E05 PDFBibTeX XMLCite \textit{B. R. S. Kumar} et al., Notes Number Theory Discrete Math. 21, No. 1, 86--91 (2015; Zbl 1377.11049) Full Text: Link
Zayed, E. M. E.; Alurrfi, K. A. E. A new Jacobi elliptic function expansion method for solving a nonlinear PDE describing pulse narrowing nonlinear transmission lines. (English) Zbl 1340.35126 J. Partial Differ. Equations 28, No. 2, 128-138 (2015). MSC: 35K55 35C05 33C45 PDFBibTeX XMLCite \textit{E. M. E. Zayed} and \textit{K. A. E. Alurrfi}, J. Partial Differ. Equations 28, No. 2, 128--138 (2015; Zbl 1340.35126) Full Text: DOI
Abramov, S. A.; Petkovšek, M.; Ryabenko, A. A. Hypergeometric solutions of first-order linear difference systems with rational-function coefficients. (English) Zbl 1434.33020 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 1-14 (2015). MSC: 33C70 39A06 68Q25 68W30 PDFBibTeX XMLCite \textit{S. A. Abramov} et al., Lect. Notes Comput. Sci. 9301, 1--14 (2015; Zbl 1434.33020) Full Text: DOI
Thylwe, Karl-Erik; McCabe, Patrick On calculations of Legendre functions and associated Legendre functions of the first kind of complex degree. (English) Zbl 1319.33002 Commun. Theor. Phys. 64, No. 1, 9-12 (2015). MSC: 33C47 34L25 33C45 PDFBibTeX XMLCite \textit{K.-E. Thylwe} and \textit{P. McCabe}, Commun. Theor. Phys. 64, No. 1, 9--12 (2015; Zbl 1319.33002) Full Text: DOI
Karlsson, Per W. Goursat’s hypergeometric transformations, revisited. (English) Zbl 1323.33008 Milovanović, Gradimir V. (ed.) et al., Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer (ISBN 978-1-4939-0257-6/hbk; 978-1-4939-0258-3/ebook). 721-736 (2014). MSC: 33C05 65D20 PDFBibTeX XMLCite \textit{P. W. Karlsson}, in: Analytic number theory, approximation theory, and special functions. In honor of Hari M. Srivastava. New York, NY: Springer. 721--736 (2014; Zbl 1323.33008) Full Text: DOI
Chen, Shaoshi; Singer, Michael F. On the summability of bivariate rational functions. (English) Zbl 1301.33003 J. Algebra 409, 320-343 (2014). Reviewer: Cristinel Mortici (Târgovişte) MSC: 33B15 26C15 40C05 40B05 PDFBibTeX XMLCite \textit{S. Chen} and \textit{M. F. Singer}, J. Algebra 409, 320--343 (2014; Zbl 1301.33003) Full Text: DOI arXiv
Koepf, Wolfram Hypergeometric summation. An algorithmic approach to summation and special function identities. 2nd ed. (English) Zbl 1296.33002 Universitext. London: Springer (ISBN 978-1-4471-6463-0/pbk; 978-1-4471-6464-7/ebook). xvii, 279 p. (2014). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 33-02 33C05 33C20 33D70 33D90 40C99 PDFBibTeX XMLCite \textit{W. Koepf}, Hypergeometric summation. An algorithmic approach to summation and special function identities. 2nd ed. London: Springer (2014; Zbl 1296.33002) Full Text: DOI
Rajappa, G. N.; Eswara, A. T. A note on some Ramanujan’s modular equations. (English) Zbl 1445.33010 J. Ramanujan Soc. Math. Math. Sci. 2, No. 1, 41-51 (2013). MSC: 33C05 11F20 11Y99 PDFBibTeX XMLCite \textit{G. N. Rajappa} and \textit{A. T. Eswara}, J. Ramanujan Soc. Math. Math. Sci. 2, No. 1, 41--51 (2013; Zbl 1445.33010) Full Text: Link
Usman, Muhammad; Mohyud-Din, Syed Tauseef Physicists Hermite wavelet method for singular differential equations. (English) Zbl 1360.34052 Int. J. Adv. Appl. Math. Mech. 1, No. 2, 16-29 (2013). MSC: 34B16 65T60 33C45 PDFBibTeX XMLCite \textit{M. Usman} and \textit{S. T. Mohyud-Din}, Int. J. Adv. Appl. Math. Mech. 1, No. 2, 16--29 (2013; Zbl 1360.34052) Full Text: Link
El-Mikkawy, Moawwad; Atlan, Faiz Derivation of identities involving some special polynomials and numbers via generating functions with applications. (English) Zbl 1329.33008 Appl. Math. Comput. 220, 518-535 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{M. El-Mikkawy} and \textit{F. Atlan}, Appl. Math. Comput. 220, 518--535 (2013; Zbl 1329.33008) Full Text: DOI
Rao, S. B.; Salehbhai, I. A.; Shukla, A. K. On sequence of functions containing generalized hypergeometric. (English) Zbl 1294.33025 Math. Sci. Res. J. 17, No. 4, 98-110 (2013). MSC: 33E10 33E12 PDFBibTeX XMLCite \textit{S. B. Rao} et al., Math. Sci. Res. J. 17, No. 4, 98--110 (2013; Zbl 1294.33025)
Sun, Zhihong Congruences involving \({2k\choose k}^2{3k\choose k}\). (English) Zbl 1300.11007 J. Number Theory 133, No. 5, 1572-1595 (2013). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11E25 05A10 05A19 11G07 33C45 11L10 PDFBibTeX XMLCite \textit{Z. Sun}, J. Number Theory 133, No. 5, 1572--1595 (2013; Zbl 1300.11007) Full Text: DOI
Feinsilver, Philip Lie algebras, representations, and analytic semigroups through dual vector fields. (English) Zbl 1339.17017 Graczyk, Piotr (ed.) et al., Orthogonal families and semigroups in analysis and probability. Selected papers based on the presentations at the CIMPA workshop, Mérida, Venezuela, 2006. Paris: Société Mathématique de France (ISBN 978-2-85629-362-1/pbk). Séminaires et Congrès 25, 111-193 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B66 33C80 37C10 60G50 PDFBibTeX XMLCite \textit{P. Feinsilver}, Sémin. Congr. 25, 111--193 (2012; Zbl 1339.17017)
Horn, Peter; Koepf, Wolfram; Sprenger, Torsten \( m\)-fold hypergeometric solutions of linear recurrence equations revisited. (English) Zbl 1262.68190 Math. Comput. Sci. 6, No. 1, 61-77 (2012). MSC: 68W30 33F10 39A10 PDFBibTeX XMLCite \textit{P. Horn} et al., Math. Comput. Sci. 6, No. 1, 61--77 (2012; Zbl 1262.68190) Full Text: DOI
Shukla, Ajay Kumar; Salehbhai, Ibrahim Abubaker The integral expression involving the family of Laguerre polynomials and Bessel function. (English) Zbl 1257.33016 Commun. Korean Math. Soc. 27, No. 4, 721-732 (2012). MSC: 33C45 65A05 44A15 PDFBibTeX XMLCite \textit{A. K. Shukla} and \textit{I. A. Salehbhai}, Commun. Korean Math. Soc. 27, No. 4, 721--732 (2012; Zbl 1257.33016) Full Text: DOI
Amdeberhan, Tewodros; de Angelis, Valerio; Lin, Minghua; Moll, Victor H.; Sury, B. A pretty binomial identity. (English) Zbl 1250.11023 Elem. Math. 67, No. 1, 18-25 (2012). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 05A10 05A19 33C05 33F10 PDFBibTeX XMLCite \textit{T. Amdeberhan} et al., Elem. Math. 67, No. 1, 18--25 (2012; Zbl 1250.11023) Full Text: DOI
Sprenger, Torsten; Koepf, Wolfram Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions. (English) Zbl 1245.33016 J. Symb. Comput. 47, No. 5, 519-535 (2012). Reviewer: Roelof Koekoek (Delft) MSC: 33D45 33C45 PDFBibTeX XMLCite \textit{T. Sprenger} and \textit{W. Koepf}, J. Symb. Comput. 47, No. 5, 519--535 (2012; Zbl 1245.33016) Full Text: DOI
Boyack, Rufus; Lekner, John Confluent Heun functions and separation of variables in spheroidal coordinates. (English) Zbl 1317.35019 J. Math. Phys. 52, No. 7, 073517, 8 p. (2011). MSC: 35J05 35J10 33E10 33C15 35B40 PDFBibTeX XMLCite \textit{R. Boyack} and \textit{J. Lekner}, J. Math. Phys. 52, No. 7, 073517, 8 p. (2011; Zbl 1317.35019) Full Text: DOI
Bogolyubskiĭ, A. I. Asymptotic \(\gamma\)-forms generated by multiple orthogonal polynomials. Appendix. (English. Russian original) Zbl 1370.33001 Proc. Steklov Inst. Math. 272, Suppl. 2, S174-S190 (2011); translation from Sovrem. Probl. Mat. 9, 63-82 (2007). MSC: 33-04 33C45 PDFBibTeX XMLCite \textit{A. I. Bogolyubskiĭ}, Proc. Steklov Inst. Math. 272, S174--S190 (2011; Zbl 1370.33001); translation from Sovrem. Probl. Mat. 9, 63--82 (2007) Full Text: DOI
Masjed-Jamei, Mohammad; Koepf, Wolfram Computing two special cases of Gauss hypergeometric function. (English) Zbl 1274.33006 Creat. Math. Inform. 20, No. 2, 137-146 (2011). Reviewer: P. K. Banerji (Jodhpur) MSC: 33C05 33C15 33C45 33C90 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{W. Koepf}, Creat. Math. Inform. 20, No. 2, 137--146 (2011; Zbl 1274.33006)
Butler, Ronald W.; Paige, Robert L. Exact distributional computations for Roy’s statistic and the largest eigenvalue of a Wishart distribution. (English) Zbl 1284.62319 Stat. Comput. 21, No. 2, 147-157 (2011). MSC: 62H10 62E15 33C15 33C05 60B20 62J10 PDFBibTeX XMLCite \textit{R. W. Butler} and \textit{R. L. Paige}, Stat. Comput. 21, No. 2, 147--157 (2011; Zbl 1284.62319) Full Text: DOI
Ryabenko, A. A. A definite summation of hypergeometric terms of special kind. (English. Russian original) Zbl 1247.33038 Program. Comput. Softw. 37, No. 4, 187-191 (2011); translation from Programmirovanie 37, No. 4 (2011). MSC: 33F10 68W30 PDFBibTeX XMLCite \textit{A. A. Ryabenko}, Program. Comput. Softw. 37, No. 4, 187--191 (2011; Zbl 1247.33038); translation from Programmirovanie 37, No. 4 (2011) Full Text: DOI
Chaggara, Hamza; Koepf, Wolfram On linearization and connection coefficients for generalized Hermite polynomials. (English) Zbl 1231.33010 J. Comput. Appl. Math. 236, No. 1, 65-73 (2011). MSC: 33C45 65D20 PDFBibTeX XMLCite \textit{H. Chaggara} and \textit{W. Koepf}, J. Comput. Appl. Math. 236, No. 1, 65--73 (2011; Zbl 1231.33010) Full Text: DOI
Köken, Fikri; Bozkurt, Durmuş Positive integer powers for one type of odd order circulant matrices. (English) Zbl 1209.15030 Appl. Math. Comput. 217, No. 9, 4377-4381 (2011). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 15B05 11C20 15A18 33C45 65T50 PDFBibTeX XMLCite \textit{F. Köken} and \textit{D. Bozkurt}, Appl. Math. Comput. 217, No. 9, 4377--4381 (2011; Zbl 1209.15030) Full Text: DOI
Groux, Roland; Soulat, Philippe Special functions viewed via problems. (Les fonctions spéciales vues par les problèmes. L3, master, CAPES, agrégation.) (French) Zbl 1242.33001 Pratiques Mathématiques. Toulouse: Cépaduès-Éditions (ISBN 978-2-85428-898-8/pbk). 325 p. (2009). Reviewer: Per W. Karlsson (Lyngby) MSC: 33-01 33Cxx 33B15 33B20 33B30 33C05 33C10 33C15 PDFBibTeX XMLCite \textit{R. Groux} and \textit{P. Soulat}, Les fonctions spéciales vues par les problèmes. L3, master, CAPES, agrégation. Toulouse: Cépaduès-Éditions (2009; Zbl 1242.33001)
Chamberland, Marc Ramanujan’s 6-8-10 equation and beyond. (English) Zbl 1223.33005 Math. Mag. 82, No. 2, 135-140 (2009). MSC: 33C05 97I99 97H30 PDFBibTeX XMLCite \textit{M. Chamberland}, Math. Mag. 82, No. 2, 135--140 (2009; Zbl 1223.33005) Full Text: DOI
Fritzsche, S. Maple procedures for the coupling of angular momenta. An up-date of the Racah module. (English) Zbl 1197.81012 Comput. Phys. Commun. 180, No. 10, 2021-2023 (2009). MSC: 81-04 81R05 33C80 PDFBibTeX XMLCite \textit{S. Fritzsche}, Comput. Phys. Commun. 180, No. 10, 2021--2023 (2009; Zbl 1197.81012) Full Text: DOI
Hassan, Anwar; Ahmad, Sheikh Bilal A new contagious distribution and its applications in queuing theory. (English) Zbl 1178.62008 Int. J. Mod. Math. 4, No. 3, 339-350 (2009). MSC: 62E10 33C90 65C60 62E15 PDFBibTeX XMLCite \textit{A. Hassan} and \textit{S. B. Ahmad}, Int. J. Mod. Math. 4, No. 3, 339--350 (2009; Zbl 1178.62008)
Shukla, A. K.; Salehbhai, I. A.; Prajapati, J. C. On the Laguerre transform in two variables. (English) Zbl 1170.44301 Integral Transforms Spec. Funct. 20, No. 5-6, 459-470 (2009). Reviewer: Alexandr L. Brodskij (Severodonetsk) MSC: 44A15 44A30 33C45 33F10 PDFBibTeX XMLCite \textit{A. K. Shukla} et al., Integral Transforms Spec. Funct. 20, No. 5--6, 459--470 (2009; Zbl 1170.44301) Full Text: DOI
McLaughlin, James; Sills, Andrew V.; Zimmer, Peter Rogers-Ramanujan computer searches. (English) Zbl 1175.33018 J. Symb. Comput. 44, No. 8, 1068-1078 (2009). MSC: 11P84 11B65 33D15 33F10 PDFBibTeX XMLCite \textit{J. McLaughlin} et al., J. Symb. Comput. 44, No. 8, 1068--1078 (2009; Zbl 1175.33018) Full Text: DOI arXiv
Choi, Dongseok; Nadarajah, Saralees Information matrix for a mixture of two Laplace distributions. (English) Zbl 1309.33018 Stat. Pap. 50, No. 1, 1-12 (2009). MSC: 33C90 62E10 PDFBibTeX XMLCite \textit{D. Choi} and \textit{S. Nadarajah}, Stat. Pap. 50, No. 1, 1--12 (2009; Zbl 1309.33018) Full Text: DOI
Nadarajah, Saralees Linear combination of Laplace and Gumbel random variables. (English) Zbl 1178.33016 J. Comput. Anal. Appl. 11, No. 3, 414-422 (2009). MSC: 33C90 62E99 PDFBibTeX XMLCite \textit{S. Nadarajah}, J. Comput. Anal. Appl. 11, No. 3, 414--422 (2009; Zbl 1178.33016)
Apagodu, Moa; Zeilberger, Doron Searching for strange hypergeometric identities by sheer brute force. (English) Zbl 1210.33024 Integers 8, No. 1, Article A36, 6 p. (2008). MSC: 33F10 33C05 PDFBibTeX XMLCite \textit{M. Apagodu} and \textit{D. Zeilberger}, Integers 8, No. 1, Article A36, 6 p. (2008; Zbl 1210.33024) Full Text: arXiv EuDML EMIS
Willink, R. A closed-form expression for the Pearson type IV distribution function. (English) Zbl 1145.62009 Aust. N. Z. J. Stat. 50, No. 2, 199-205 (2008). MSC: 62E15 33B20 62E10 65C60 PDFBibTeX XMLCite \textit{R. Willink}, Aust. N. Z. J. Stat. 50, No. 2, 199--205 (2008; Zbl 1145.62009) Full Text: DOI
Hardouin, Charlotte; Singer, Michael F. Differential Galois theory of linear difference equations. (English) Zbl 1163.12002 Math. Ann. 342, No. 2, 333-377 (2008). Reviewer: Jacques Sauloy (Toulouse) MSC: 12H05 39A10 33B15 33D15 39A12 PDFBibTeX XMLCite \textit{C. Hardouin} and \textit{M. F. Singer}, Math. Ann. 342, No. 2, 333--377 (2008; Zbl 1163.12002) Full Text: DOI arXiv
Stoll, Thomas Decomposition of perturbed Chebyshev polynomials. (English) Zbl 1144.33006 J. Comput. Appl. Math. 214, No. 2, 356-370 (2008). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 33C47 42C05 13P10 68W30 PDFBibTeX XMLCite \textit{T. Stoll}, J. Comput. Appl. Math. 214, No. 2, 356--370 (2008; Zbl 1144.33006) Full Text: DOI
Foupouagnigni, Mama On difference equations for orthogonal polynomials on nonuniform lattices. (English) Zbl 1220.33017 J. Difference Equ. Appl. 14, No. 2, 127-174 (2008). MSC: 33D45 33C45 33D15 39A13 PDFBibTeX XMLCite \textit{M. Foupouagnigni}, J. Difference Equ. Appl. 14, No. 2, 127--174 (2008; Zbl 1220.33017) Full Text: DOI
Koepf, Wolfram Orthogonal polynomials and recurrence equations, operator equations and factorization. (English) Zbl 1176.33012 ETNA, Electron. Trans. Numer. Anal. 27, 113-123 (2007). MSC: 33C45 33C20 33D45 33D15 39A70 PDFBibTeX XMLCite \textit{W. Koepf}, ETNA, Electron. Trans. Numer. Anal. 27, 113--123 (2007; Zbl 1176.33012) Full Text: EuDML EMIS
Koepf, W. Computer algebra method for orthogonal polynomials. (English) Zbl 1127.65015 Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 325-343 (2007). MSC: 65D20 33C45 33F05 65Q05 68W30 33-04 PDFBibTeX XMLCite \textit{W. Koepf}, in: Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25--30, 2005. Hackensack, NJ: World Scientific. 325--343 (2007; Zbl 1127.65015)
Dumitriu, Ioana; Edelman, Alan; Shuman, Gene MOPS: multivariate orthogonal polynomials (symbolically). (English) Zbl 1122.33019 J. Symb. Comput. 42, No. 6, 587-620 (2007). MSC: 33F05 33F10 33C45 68W30 PDFBibTeX XMLCite \textit{I. Dumitriu} et al., J. Symb. Comput. 42, No. 6, 587--620 (2007; Zbl 1122.33019) Full Text: DOI arXiv
Temme, Nico M. Numerical aspects of special functions. (English) Zbl 1135.65011 Acta Numerica 16, 379-478 (2007). Reviewer: E. Kreyszig (Ottawa) MSC: 65D20 33F05 33Bxx 33Cxx 44A10 65R10 33Exx PDFBibTeX XMLCite \textit{N. M. Temme}, Acta Numerica 16, 379--478 (2007; Zbl 1135.65011) Full Text: DOI
Weniger, Ernst Joachim Asymptotic approximations to truncation errors of series representations for special functions. (English) Zbl 1117.65042 Iske, Armin (ed) et al., Algorithms for approximation. Proceedings of the 5th international conference, Chester, UK, July 17–21, 2005. Berlin: Springer (ISBN 3-540-33283-9/hbk). 331-348 (2007). MSC: 65D20 33F05 11M06 33C20 33E20 PDFBibTeX XMLCite \textit{E. J. Weniger}, in: Algorithms for approximation. Proceedings of the 5th international conference, Chester, UK, July 17--21, 2005. Berlin: Springer. 331--348 (2007; Zbl 1117.65042) Full Text: arXiv
Koepf, Wolfram Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality. (English) Zbl 1186.30001 Ramanujan J. 13, No. 1-3, 103-129 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30-02 30C50 30C35 30C45 30C80 33C20 33C45 33F10 68W30 PDFBibTeX XMLCite \textit{W. Koepf}, Ramanujan J. 13, No. 1--3, 103--129 (2007; Zbl 1186.30001) Full Text: DOI Link
Neher, Markus A note on a sum associated with the generalized hypergeometric function. (English) Zbl 1116.33005 Appl. Math. Comput. 187, No. 2, 1527-1534 (2007). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 33C90 34A30 PDFBibTeX XMLCite \textit{M. Neher}, Appl. Math. Comput. 187, No. 2, 1527--1534 (2007; Zbl 1116.33005) Full Text: DOI
Deaño, Alfredo; Gil, Amparo; Segura, Javier Computation of the real zeros of the Kummer function \(M(a;c;x)\). (English) Zbl 1230.33014 Iglesias, Andrés (ed.) et al., Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer (ISBN 978-3-540-38084-9/pbk). Lecture Notes in Computer Science 4151, 296-307 (2006). MSC: 33F05 33C05 34C60 65H05 PDFBibTeX XMLCite \textit{A. Deaño} et al., Lect. Notes Comput. Sci. 4151, 296--307 (2006; Zbl 1230.33014) Full Text: DOI
Kyriakoussis, A.; Vamvakari, M. G. On asymptotics for the signless noncentral \(q\)-Stirling numbers of the first kind. (English) Zbl 1145.05301 Stud. Appl. Math. 117, No. 3, 191-213 (2006). MSC: 05A30 33D99 33F05 PDFBibTeX XMLCite \textit{A. Kyriakoussis} and \textit{M. G. Vamvakari}, Stud. Appl. Math. 117, No. 3, 191--213 (2006; Zbl 1145.05301) Full Text: DOI
Bayat, M.; Mehri, B.; Teimoori, H. Hypergonometric functions and their applications. (English) Zbl 1123.33003 Int. J. Appl. Math. 19, No. 4, 365-378 (2006). MSC: 33C05 33-02 PDFBibTeX XMLCite \textit{M. Bayat} et al., Int. J. Appl. Math. 19, No. 4, 365--378 (2006; Zbl 1123.33003)
Zeilberger, Doron A fast algorithm for proving terminating hypergeometric identities. (Reprint). (English) Zbl 1102.33017 Discrete Math. 306, No. 10-11, 1072-1075 (2006). Reviewer: Wolfram Koepf (Kassel) MSC: 33F10 PDFBibTeX XMLCite \textit{D. Zeilberger}, Discrete Math. 306, No. 10--11, 1072--1075 (2006; Zbl 1102.33017) Full Text: DOI
Abramov, S. A.; Carette, J. J.; Geddes, K. O.; Le, H. Q. Telescoping in the context of symbolic summation in Maple. (English) Zbl 1137.05326 J. Symb. Comput. 38, No. 4, 1303-1326 (2004). MSC: 05E35 33F10 68W30 PDFBibTeX XMLCite \textit{S. A. Abramov} et al., J. Symb. Comput. 38, No. 4, 1303--1326 (2005; Zbl 1137.05326) Full Text: DOI
Ryabenko, A. A.; Skorokhodov, S. L. Asymptotics of sums of hypergeometric terms. (English. Russian original) Zbl 1102.41029 Program. Comput. Softw. 31, No. 2, 65-72 (2005); translation from Programmirovanie 2005, No. 2, 22-31 (2005). Reviewer: Stamatis Koumandos (Nicosia) MSC: 41A60 33C05 33B15 33F05 33F10 PDFBibTeX XMLCite \textit{A. A. Ryabenko} and \textit{S. L. Skorokhodov}, Program. Comput. Softw. 31, No. 2, 65--72 (2005; Zbl 1102.41029); translation from Programmirovanie 2005, No. 2, 22--31 (2005) Full Text: DOI Backlinks: MO
Temme, Nico M. Numerical aspects of special functions. (English) Zbl 1087.65527 Simos, Theodore S. (ed.) et al., ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16–20, 2005. Weinheim: Wiley-VCH (ISBN 3-527-40652-2/hbk). 696-698 (2005). MSC: 65D20 33F05 33C05 PDFBibTeX XMLCite \textit{N. M. Temme}, in: ICNAAM 2005. International conference on numerical analysis and applied mathematics 2005. Official conference of the European Society of Computational Methods in Sciences and Engineering (ESCMSE), Rhodes, Greek, September 16--20, 2005. Weinheim: Wiley-VCH. 696--698 (2005; Zbl 1087.65527)
Skorokhodov, S. L. A method of computing the generalized hypergeometric functions \(_pF_{p-1}(a_1,\dots, a_p; b_1,\dots, b_{p-1}; 1)\) in terms of the Riemann zeta function. (Russian, English) Zbl 1077.33008 Zh. Vychisl. Mat. Mat. Fiz. 45, No. 4, 574-586 (2005); translation in Comput. Math. Math. Phys. 45, No. 4, 550-562 (2005). Reviewer: Sergei Zhuravlev (Moskva) MSC: 33C20 PDFBibTeX XMLCite \textit{S. L. Skorokhodov}, Zh. Vychisl. Mat. Mat. Fiz. 45, No. 4, 574--586 (2005; Zbl 1077.33008); translation in Comput. Math. Math. Phys. 45, No. 4, 550--562 (2005)
Elsner, Carsten On recurrence formulae for sums involving binomial coefficients. (English) Zbl 1136.40301 Fibonacci Q. 43, No. 1, 31-45 (2005). Reviewer: Wadim Zudilin (Moskva) (MR2129118) MSC: 11B65 11B37 33C05 33F10 65B10 PDFBibTeX XMLCite \textit{C. Elsner}, Fibonacci Q. 43, No. 1, 31--45 (2005; Zbl 1136.40301)
Abramov, S. A.; Le, H. Q. On the order of the recurrence produced by the method of creative telescoping. (English) Zbl 1077.33037 Discrete Math. 298, No. 1-3, 2-17 (2005). MSC: 33F10 PDFBibTeX XMLCite \textit{S. A. Abramov} and \textit{H. Q. Le}, Discrete Math. 298, No. 1--3, 2--17 (2005; Zbl 1077.33037) Full Text: DOI
El-Mikkawy, M. E. A.; Cheon, G.-S. Combinatorial and hypergeometric identities via the Legendre polynomials – a computational approach. (English) Zbl 1073.65019 Appl. Math. Comput. 166, No. 1, 181-195 (2005). MSC: 65D20 33C45 33F05 68W30 PDFBibTeX XMLCite \textit{M. E. A. El-Mikkawy} and \textit{G. S. Cheon}, Appl. Math. Comput. 166, No. 1, 181--195 (2005; Zbl 1073.65019) Full Text: DOI
Foupouagnigni, M.; Koepf, W.; Ronveaux, A. On factorization and solutions of \(q\)-difference equations satisfied by some classes of orthogonal polynomials. (English) Zbl 1147.33301 J. Difference Equ. Appl. 10, No. 8, 729-747 (2004). MSC: 33D45 33C45 39A13 PDFBibTeX XMLCite \textit{M. Foupouagnigni} et al., J. Difference Equ. Appl. 10, No. 8, 729--747 (2004; Zbl 1147.33301) Full Text: DOI
Mohammed, Mohamud; Zeilberger, Doron The Markov-WZ method. (English) Zbl 1072.33016 Electron. J. Comb. 11, No. 1, Research paper R53, 14 p. (2004). Reviewer: Wolfram Koepf (Kassel) MSC: 33F10 05A10 41A25 PDFBibTeX XMLCite \textit{M. Mohammed} and \textit{D. Zeilberger}, Electron. J. Comb. 11, No. 1, Research paper R53, 14 p. (2004; Zbl 1072.33016) Full Text: EuDML EMIS
Foupouagnigni, M.; Koepf, W.; Ronveaux, A. Factorization of fourth-order differential equations for perturbed classical orthogonal polynomials. (English) Zbl 1052.33006 J. Comput. Appl. Math. 162, No. 2, 299-326 (2004). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 33C45 33C47 PDFBibTeX XMLCite \textit{M. Foupouagnigni} et al., J. Comput. Appl. Math. 162, No. 2, 299--326 (2004; Zbl 1052.33006) Full Text: DOI
Foupouagnigni, M.; Koepf, W.; Ronveaux, A. On fourth-order difference equations for orthogonal polynomials of a discrete variable: Derivation, factorization and solutions. (English) Zbl 1062.33010 J. Difference Equ. Appl. 9, No. 9, 777-804 (2003). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 33C45 13P05 PDFBibTeX XMLCite \textit{M. Foupouagnigni} et al., J. Difference Equ. Appl. 9, No. 9, 777--804 (2003; Zbl 1062.33010) Full Text: DOI
El-Mikkawy, M.; Cheon, Gi-Sang A connection between a generalized Pascal matrix and the hypergeometric function. (English) Zbl 1055.33001 Appl. Math. Lett. 16, No. 8, 1239-1243 (2003). Reviewer: Per W. Karlsson (Lyngby) MSC: 33C05 15A99 PDFBibTeX XMLCite \textit{M. El-Mikkawy} and \textit{G.-S. Cheon}, Appl. Math. Lett. 16, No. 8, 1239--1243 (2003; Zbl 1055.33001) Full Text: DOI
Chu, Wen-Chang Summations on trigonometric functions. (English) Zbl 1030.65142 Appl. Math. Comput. 141, No. 1, 161-176 (2003). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 65T40 42A05 68W30 PDFBibTeX XMLCite \textit{W.-C. Chu}, Appl. Math. Comput. 141, No. 1, 161--176 (2003; Zbl 1030.65142) Full Text: DOI
Gil, Amparo; Segura, Javier A combined symbolic and numerical algorithm for the computation of zeros of orthogonal polynomials and special functions. (English) Zbl 1024.65039 J. Symb. Comput. 35, No. 5, 465-485 (2003). MSC: 65H05 33F10 65D20 33C45 33F05 68W30 PDFBibTeX XMLCite \textit{A. Gil} and \textit{J. Segura}, J. Symb. Comput. 35, No. 5, 465--485 (2003; Zbl 1024.65039) Full Text: DOI
Hassani, Mehdi Derangements and applications. (English) Zbl 1066.33002 J. Integer Seq. 6, No. 1, Art. 03.1.2, 8 p. (2003). MSC: 33B20 33C20 PDFBibTeX XMLCite \textit{M. Hassani}, J. Integer Seq. 6, No. 1, Art. 03.1.2, 8 p. (2003; Zbl 1066.33002) Full Text: EuDML EMIS
Sills, Andrew V. Finite Rogers-Ramanujan type identities. (English) Zbl 1011.05003 Electron. J. Comb. 10, Research paper R13, 122 p. (2003); printed version J. Comb. 10, No. 2 (2003). MSC: 33D15 05A17 05A19 05A30 11B65 11P81 33F10 PDFBibTeX XMLCite \textit{A. V. Sills}, Electron. J. Comb. 10, No. 1, Research paper R13, 122 p. (2003; Zbl 1011.05003) Full Text: arXiv EuDML EMIS
Niukkanen, A. V.; Paramonova, O. S. Linear transformations and reduction formulas for the Gelfand hypergeometric functions associated with the Grassmannians \(G_{2,4}\) and \(G_{3,6}\). (English. Russian original) Zbl 1027.33012 Math. Notes 71, No. 1, 80-89 (2002); translation from Mat. Zametki 71, No. 1, 88-99 (2002). Reviewer: Robert G.Buschman (Langlois) MSC: 33C65 33C70 PDFBibTeX XMLCite \textit{A. V. Niukkanen} and \textit{O. S. Paramonova}, Math. Notes 71, No. 1, 80--89 (2002; Zbl 1027.33012); translation from Mat. Zametki 71, No. 1, 88--99 (2002) Full Text: DOI
Abramov, S. A.; Le, H. Q. A criterion for the applicability of Zeilberger’s algorithm to rational functions. (English) Zbl 1023.33017 Discrete Math. 259, No. 1-3, 1-17 (2002). Reviewer: N.M.Temme (GB Amsterdam) MSC: 33F10 33C05 PDFBibTeX XMLCite \textit{S. A. Abramov} and \textit{H. Q. Le}, Discrete Math. 259, No. 1--3, 1--17 (2002; Zbl 1023.33017) Full Text: DOI
Koepf, Wolfram; Schmersau, Dieter Recurrence equations and their classical orthogonal polynomial solutions. (English) Zbl 1031.33007 Appl. Math. Comput. 128, No. 2-3, 303-327 (2002). Reviewer: Marcel G.de Bruin (Delft) MSC: 33C45 34B99 PDFBibTeX XMLCite \textit{W. Koepf} and \textit{D. Schmersau}, Appl. Math. Comput. 128, No. 2--3, 303--327 (2002; Zbl 1031.33007) Full Text: DOI
Richards, Derek Advanced mathematical methods with Maple. (English) Zbl 0987.65002 Cambridge: Cambridge University Press. xv, 862 p. (2002). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Dxx 65Lxx 68W30 65Txx 65Hxx 65Pxx PDFBibTeX XMLCite \textit{D. Richards}, Advanced mathematical methods with Maple. Cambridge: Cambridge University Press (2002; Zbl 0987.65002)