Jayarama, Prathima; Rathie, Arjun Kumar A class of definite integrals involving generalized hypergeometric functions. (English) Zbl 07894583 Publ. Inst. Math., Nouv. Sér. 115(129), 157-172 (2024). MSC: 33C20 33C05 65B10 PDFBibTeX XMLCite \textit{P. Jayarama} and \textit{A. K. Rathie}, Publ. Inst. Math., Nouv. Sér. 115(129), 157--172 (2024; Zbl 07894583) Full Text: DOI
Teguia Tabuguia, Bertrand Hypergeometric-type sequences. (English) Zbl 07852641 J. Symb. Comput. 125, Article ID 102328, 23 p. (2024). Reviewer: Thomas Ernst (Uppsala) MSC: 33C20 33C05 33C45 33B10 33F10 39A06 40A05 PDFBibTeX XMLCite \textit{B. Teguia Tabuguia}, J. Symb. Comput. 125, Article ID 102328, 23 p. (2024; Zbl 07852641) Full Text: DOI arXiv
Salahuddin; Chaudhary, M. P. Some elliptical integrals associated with hypergeometric functions. (English) Zbl 07874967 J. Ramanujan Soc. Math. Math. Sci. 11, No. 1, 107-114 (2023). Reviewer: Klaus Schiefermayr (Wels) MSC: 33C75 33E05 33F05 PDFBibTeX XMLCite \textit{Salahuddin} and \textit{M. P. Chaudhary}, J. Ramanujan Soc. Math. Math. Sci. 11, No. 1, 107--114 (2023; Zbl 07874967) Full Text: DOI
Salahuddin; Chaudhary, M. P. Some definite integrals associated with hypergeometric functions. (English) Zbl 07859404 Honam Math. J. 45, No. 4, 682-688 (2023). MSC: 33B20 33C05 33C10 33D50 PDFBibTeX XMLCite \textit{Salahuddin} and \textit{M. P. Chaudhary}, Honam Math. J. 45, No. 4, 682--688 (2023; Zbl 07859404) Full Text: DOI
Colombo, F.; Krausshar, R. S.; Sabadini, I.; Simsek, Y. On the generating functions and special functions associated with superoscillations. (English) Zbl 1531.81086 Discrete Appl. Math. 340, 215-227 (2023). MSC: 81Q15 33C15 35B34 08A40 81P15 28B05 PDFBibTeX XMLCite \textit{F. Colombo} et al., Discrete Appl. Math. 340, 215--227 (2023; Zbl 1531.81086) Full Text: DOI arXiv
Dağlı, Muhammet Cihat A new orthogonal polynomial associated with a generalization of Delannoy numbers. (English) Zbl 1531.33019 Bull. Sci. Math. 187, Article ID 103290, 12 p. (2023). MSC: 33C45 05A10 11B65 05A15 11B75 PDFBibTeX XMLCite \textit{M. C. Dağlı}, Bull. Sci. Math. 187, Article ID 103290, 12 p. (2023; Zbl 1531.33019) Full Text: DOI
Diaconis, Persi; Zhong, Chenyang Hahn polynomials and the Burnside process. (English) Zbl 07695119 Ramanujan J. 61, No. 2, 567-595 (2023). MSC: 33C90 33C45 60J10 PDFBibTeX XMLCite \textit{P. Diaconis} and \textit{C. Zhong}, Ramanujan J. 61, No. 2, 567--595 (2023; Zbl 07695119) Full Text: DOI arXiv
Pathan, M. A.; Bulnes, J. D.; López-Bonilla, J.; Kumar, Hemant Connection between partial Bell polynomials and \((q; q)_k\); partition function, and certain \(q \)-hypergeometric series. (English) Zbl 1524.33078 J. Ramanujan Soc. Math. Math. Sci. 10, No. 1, 1-12 (2022). MSC: 33D90 33D70 PDFBibTeX XMLCite \textit{M. A. Pathan} et al., J. Ramanujan Soc. Math. Math. Sci. 10, No. 1, 1--12 (2022; Zbl 1524.33078) Full Text: DOI Link
Abd-Elhameed, Waleed M.; Machado, José A. Tenreiro; Youssri, Youssri H. Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations. (English) Zbl 07678011 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7-8, 1253-1268 (2022). MSC: 11B83 33C45 34A08 34K06 65M70 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 7--8, 1253--1268 (2022; Zbl 07678011) Full Text: DOI
Atta, A. G.; Youssri, Y. H. Advanced shifted first-kind Chebyshev collocation approach for solving the nonlinear time-fractional partial integro-differential equation with a weakly singular kernel. (English) Zbl 1513.65398 Comput. Appl. Math. 41, No. 8, Paper No. 381, 19 p. (2022). MSC: 65M70 65M15 45K05 33C45 35R09 41A50 26A33 35R11 PDFBibTeX XMLCite \textit{A. G. Atta} and \textit{Y. H. Youssri}, Comput. Appl. Math. 41, No. 8, Paper No. 381, 19 p. (2022; Zbl 1513.65398) Full Text: DOI OA License
Iksanov, Alexander; Kotelnikova, Valeriya Small counts in nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. (English) Zbl 1498.60132 Stochastic Processes Appl. 153, 283-320 (2022). MSC: 60F17 60J80 60G15 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{V. Kotelnikova}, Stochastic Processes Appl. 153, 283--320 (2022; Zbl 1498.60132) Full Text: DOI arXiv OA License
Youssri, Y. H.; Abd-Elhameed, W. M.; Ahmed, H. M. New fractional derivative expression of the shifted third-kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations. (English) Zbl 1510.33013 J. Funct. Spaces 2022, Article ID 3966135, 13 p. (2022). MSC: 33C45 26A33 34K07 34K37 PDFBibTeX XMLCite \textit{Y. H. Youssri} et al., J. Funct. Spaces 2022, Article ID 3966135, 13 p. (2022; Zbl 1510.33013) Full Text: DOI OA License
Oliveira, Regilene D. S.; Sánchez-Sánchez, Iván; Torregrosa, Joan Simultaneous bifurcation of limit cycles and critical periods. (English) Zbl 1518.34042 Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 20, 35 p. (2022). Reviewer: Maite Grau (Lleida) MSC: 34C05 34C07 34C23 34C25 PDFBibTeX XMLCite \textit{R. D. S. Oliveira} et al., Qual. Theory Dyn. Syst. 21, No. 1, Paper No. 20, 35 p. (2022; Zbl 1518.34042) Full Text: DOI OA License
Hu, Qiuxia Some new representations of Hikami’s second-order mock theta function \(\mathfrak{D}_5(q)\). (English) Zbl 1496.11065 Turk. J. Math. 45, No. 5, 2248-2259 (2021). MSC: 11F27 11F03 11B65 PDFBibTeX XMLCite \textit{Q. Hu}, Turk. J. Math. 45, No. 5, 2248--2259 (2021; Zbl 1496.11065) Full Text: DOI
Abd-Elhameed, Waleed M.; Youssri, Youssri H. Neoteric formulas of the monic orthogonal Chebyshev polynomials of the sixth-kind involving moments and linearization formulas. (English) Zbl 1487.33006 Adv. Difference Equ. 2021, Paper No. 84, 20 p. (2021). MSC: 33C45 33C15 33C05 42C10 11B83 42C05 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Adv. Difference Equ. 2021, Paper No. 84, 20 p. (2021; Zbl 1487.33006) Full Text: DOI OA License
Ebanks, Bruce; Kézdy, André E. Reduction formulas for higher order derivations and a hypergeometric identity. (English) Zbl 1475.39001 Aequationes Math. 95, No. 6, 1053-1065 (2021). MSC: 39B52 13N15 05A10 33C05 33C20 39B72 PDFBibTeX XMLCite \textit{B. Ebanks} and \textit{A. E. Kézdy}, Aequationes Math. 95, No. 6, 1053--1065 (2021; Zbl 1475.39001) Full Text: DOI
Simsek, Yilmaz Miscellaneous formulae for the certain class of combinatorial sums and special numbers. (English) Zbl 1476.11035 Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 151-167 (2021). MSC: 11B65 11B68 11B73 11B83 05A15 PDFBibTeX XMLCite \textit{Y. Simsek}, Bull., Cl. Sci. Math. Nat., Sci. Math. 46, 151--167 (2021; Zbl 1476.11035) Full Text: Link
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
Kucukoglu, Irem; Simsek, Yilmaz Construction and computation of unified Stirling-type numbers emerging from \(p\)-adic integrals and symmetric polynomials. (English) Zbl 1480.11027 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 167, 24 p. (2021). Reviewer: Ismail Naci Cangül (Bursa) MSC: 11B73 11B65 11B68 11B75 11B83 11S80 68W01 05E05 PDFBibTeX XMLCite \textit{I. Kucukoglu} and \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 4, Paper No. 167, 24 p. (2021; Zbl 1480.11027) Full Text: DOI
Awad, Mohamed M.; Koepf, Wolfram; Mohammed, Asmaa O.; Rakha, Medhat A.; Rathie, Arjun K. A study of extensions of classical summation theorems for the series \(_3F_2\) and \(_4F_3\) with applications. (English) Zbl 1471.33002 Result. Math. 76, No. 2, Paper No. 65, 19 p. (2021). MSC: 33C05 33C20 65B10 PDFBibTeX XMLCite \textit{M. M. Awad} et al., Result. Math. 76, No. 2, Paper No. 65, 19 p. (2021; Zbl 1471.33002) Full Text: DOI OA License
Guo, Song; Guo, Victor J. W. Curious \(q\)-analogues of two supercongruences modulo the third power of a prime. (English) Zbl 1476.11034 Result. Math. 76, No. 1, Paper No. 37, 10 p. (2021). MSC: 11B65 11A07 33D15 33C20 05A30 PDFBibTeX XMLCite \textit{S. Guo} and \textit{V. J. W. Guo}, Result. Math. 76, No. 1, Paper No. 37, 10 p. (2021; Zbl 1476.11034) Full Text: DOI
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. (English) Zbl 1476.65235 Appl. Numer. Math. 167, 237-256 (2021). MSC: 65M60 65M70 65M12 65M15 65F05 41A50 PDFBibTeX XMLCite \textit{A. G. Atta} et al., Appl. Numer. Math. 167, 237--256 (2021; Zbl 1476.65235) Full Text: DOI
Agoh, Takashi A new property of Appell sequences and its application. (English) Zbl 1483.11035 Integers 21, Paper A42, 16 p. (2021). Reviewer: Hacène Belbachir (El Alia) MSC: 11B68 11B83 11B37 33C47 PDFBibTeX XMLCite \textit{T. Agoh}, Integers 21, Paper A42, 16 p. (2021; Zbl 1483.11035) Full Text: Link
Simsek, Yilmaz New integral formulas and identities involving special numbers and functions derived from certain class of special combinatorial sums. (English) Zbl 1473.11055 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 66, 14 p. (2021). MSC: 11B68 11B73 05A15 11S40 11S80 33B15 PDFBibTeX XMLCite \textit{Y. Simsek}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 66, 14 p. (2021; Zbl 1473.11055) Full Text: DOI arXiv
Girstmair, Kurt Reducing radicals in the spirit of Euclid. (English) Zbl 1462.12001 J. Symb. Comput. 104, 356-365 (2021). MSC: 12F10 33F10 PDFBibTeX XMLCite \textit{K. Girstmair}, J. Symb. Comput. 104, 356--365 (2021; Zbl 1462.12001) Full Text: DOI arXiv
Araujo, Leonardo C.; Sansão, João P. H.; Vale-Cardoso, Adriano S. Fast computation of binomial coefficients. (English) Zbl 1460.65019 Numer. Algorithms 86, No. 2, 799-812 (2021). MSC: 65D20 65T50 PDFBibTeX XMLCite \textit{L. C. Araujo} et al., Numer. Algorithms 86, No. 2, 799--812 (2021; Zbl 1460.65019) Full Text: DOI
Dağli, Muhammet Cihat A new generalization of Delannoy numbers. (English) Zbl 1482.11028 Indian J. Pure Appl. Math. 51, No. 4, 1729-1735 (2020). Reviewer: Uğur Duran (Iskenderun) MSC: 11B65 05A15 05A10 42C05 PDFBibTeX XMLCite \textit{M. C. Dağli}, Indian J. Pure Appl. Math. 51, No. 4, 1729--1735 (2020; Zbl 1482.11028) Full Text: DOI
Lindström, Mikael; Miihkinen, Santeri; Norrbo, David Unified approach to spectral properties of multipliers. (English) Zbl 1521.47056 Taiwanese J. Math. 24, No. 6, 1471-1495 (2020). Reviewer: Carme Cascante (Barcelona) MSC: 47B38 47A10 46E15 32A36 32A37 PDFBibTeX XMLCite \textit{M. Lindström} et al., Taiwanese J. Math. 24, No. 6, 1471--1495 (2020; Zbl 1521.47056) Full Text: DOI arXiv Euclid
Masjed-Jamei, Mohammad; Koepf, Wolfram; Tcheutia, Daniel Duviol A finite sequence of Hahn-type discrete orthogonal polynomials. (English) Zbl 1452.42015 J. Difference Equ. Appl. 26, No. 7, 952-965 (2020). Reviewer: Pierluigi Vellucci (Roma) MSC: 42C05 33E30 33C47 33C45 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} et al., J. Difference Equ. Appl. 26, No. 7, 952--965 (2020; Zbl 1452.42015) Full Text: DOI
Candezano, M. A. C.; Karp, D. B.; Prilepkina, E. G. Further applications of the \(G\) function integral method. (English) Zbl 1450.33012 Lobachevskii J. Math. 41, No. 5, 747-762 (2020). MSC: 33C60 PDFBibTeX XMLCite \textit{M. A. C. Candezano} et al., Lobachevskii J. Math. 41, No. 5, 747--762 (2020; Zbl 1450.33012) 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
Tcheutia, Daniel Duviol The Gamma function. (English) Zbl 1443.33001 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., 155-161 (2020). MSC: 33B15 PDFBibTeX XMLCite \textit{D. D. Tcheutia}, 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. 155--161 (2020; Zbl 1443.33001) 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
Tcheutia, Daniel Duviol Inversion, multiplication and connection formulae of classical continuous orthogonal polynomials. (English) Zbl 1443.33027 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., 69-83 (2020). MSC: 33C45 33D15 33D45 33F10 PDFBibTeX XMLCite \textit{D. D. Tcheutia}, 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. 69--83 (2020; Zbl 1443.33027) 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
Dotsenko, Vladimir; Markl, Martin; Remm, Elisabeth Non-Koszulness of operads and positivity of Poincaré series. (English) Zbl 1443.18011 Doc. Math. 25, 309-328 (2020). Reviewer: Loïc Foissy (Calais) MSC: 18M70 13D40 33E30 33F10 39A06 39A22 PDFBibTeX XMLCite \textit{V. Dotsenko} et al., Doc. Math. 25, 309--328 (2020; Zbl 1443.18011) Full Text: DOI arXiv Backlinks: MO
Guo, Victor J. W.; Wang, Su-Dan Some congruences involving fourth powers of central \(q\)-binomial coefficients. (English) Zbl 1468.11067 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1127-1138 (2020). MSC: 11B65 05A10 05A30 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{S.-D. Wang}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1127--1138 (2020; Zbl 1468.11067) Full Text: DOI
Vo, Thieu N.; Zhang, Yi Rational solutions of first-order algebraic ordinary difference equations. (English) Zbl 1436.39001 Adv. Appl. Math. 117, Article ID 102018, 28 p. (2020). Reviewer: Rodica Luca (Iaşi) MSC: 39A05 39A22 14H05 14H45 PDFBibTeX XMLCite \textit{T. N. Vo} and \textit{Y. Zhang}, Adv. Appl. Math. 117, Article ID 102018, 28 p. (2020; Zbl 1436.39001) Full Text: DOI arXiv
Heath, Joshuah T.; Bedell, Kevin S. Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions. (English) Zbl 1509.81637 J. Phys. A, Math. Theor. 52, No. 31, Article ID 315001, 51 p. (2019). MSC: 81V74 81V70 82B10 82C10 PDFBibTeX XMLCite \textit{J. T. Heath} and \textit{K. S. Bedell}, J. Phys. A, Math. Theor. 52, No. 31, Article ID 315001, 51 p. (2019; Zbl 1509.81637) Full Text: DOI arXiv
Nanthanasub, Thanit; Novaprateep, Boriboon; Wichailukkana, Narongpol The logarithmic concavity of modified Bessel functions of the first kind and its related functions. (English) Zbl 1459.33005 Adv. Difference Equ. 2019, Paper No. 379, 14 p. (2019). MSC: 33C10 26A51 PDFBibTeX XMLCite \textit{T. Nanthanasub} et al., Adv. Difference Equ. 2019, Paper No. 379, 14 p. (2019; Zbl 1459.33005) Full Text: DOI OA License
Iwasaki, Katsunori Duality and reciprocity for hypergeometric series with a gamma product formula. (English) Zbl 1443.33002 Kyushu J. Math. 73, No. 2, 251-294 (2019). MSC: 33C05 PDFBibTeX XMLCite \textit{K. Iwasaki}, Kyushu J. Math. 73, No. 2, 251--294 (2019; Zbl 1443.33002) Full Text: DOI arXiv
Koepf, Wolfram; Kim, Insuk; Rathie, Arjun K. On a new class of Laplace-type integrals involving generalized hypergeometric functions. (English) Zbl 1432.33004 Axioms 8, No. 3, Paper No. 87, 21 p. (2019). MSC: 33C20 33C05 33C90 PDFBibTeX XMLCite \textit{W. Koepf} et al., Axioms 8, No. 3, Paper No. 87, 21 p. (2019; Zbl 1432.33004) Full Text: DOI OA License
Masjed-Jamei, Mohammad; Koepf, Wolfram A new identity for generalized hypergeometric functions and applications. (English) Zbl 1432.33006 Axioms 8, No. 1, Paper No. 12, 9 p. (2019). MSC: 33C20 33C05 65B10 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{W. Koepf}, Axioms 8, No. 1, Paper No. 12, 9 p. (2019; Zbl 1432.33006) Full Text: DOI OA License
Kim, Yong Sup; Choi, Junesang; Rathie, Arjun Kumar An identity involving product of generalized hypergeometric series \(_2F_2\). (English) Zbl 1434.33008 Kyungpook Math. J. 59, No. 2, 293-299 (2019). MSC: 33C10 33B15 33C15 33C05 33C20 PDFBibTeX XMLCite \textit{Y. S. Kim} et al., Kyungpook Math. J. 59, No. 2, 293--299 (2019; Zbl 1434.33008) Full Text: DOI
Simsek, Yilmaz Generating functions for finite sums involving higher powers of binomial coefficients: analysis of hypergeometric functions including new families of polynomials and numbers. (English) Zbl 1461.33003 J. Math. Anal. Appl. 477, No. 2, 1328-1352 (2019). MSC: 33C05 05A10 05A15 PDFBibTeX XMLCite \textit{Y. Simsek}, J. Math. Anal. Appl. 477, No. 2, 1328--1352 (2019; Zbl 1461.33003) Full Text: DOI arXiv
Bărar, Adina; Mocanu, Gabriela; Raşa, Ioan Heun functions related to entropies. (English) Zbl 1416.33031 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 819-830 (2019). MSC: 33E30 33C05 94A17 PDFBibTeX XMLCite \textit{A. Bărar} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 113, No. 2, 819--830 (2019; Zbl 1416.33031) Full Text: DOI arXiv
Abd-Elhameed, W. M. New formulae between Jacobi polynomials and some fractional Jacobi functions generalizing some connection formulae. (English) Zbl 1480.33010 Anal. Math. Phys. 9, No. 1, 73-98 (2019). MSC: 33F10 33C20 33F05 68W30 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed}, Anal. Math. Phys. 9, No. 1, 73--98 (2019; Zbl 1480.33010) Full Text: DOI
Tcheutia, D. D. Nonnegative linearization coefficients of the generalized Bessel polynomials. (English) Zbl 1408.33014 Ramanujan J. 48, No. 1, 217-231 (2019). MSC: 33C10 33C45 PDFBibTeX XMLCite \textit{D. D. Tcheutia}, Ramanujan J. 48, No. 1, 217--231 (2019; Zbl 1408.33014) Full Text: DOI
Masjed-Jamei, Mohammad; Koepf, Wolfram Some summation theorems for generalized hypergeometric functions. (English) Zbl 1432.33005 Axioms 7, No. 2, Paper No. 38, 20 p. (2018). MSC: 33C20 33C05 65B10 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{W. Koepf}, Axioms 7, No. 2, Paper No. 38, 20 p. (2018; Zbl 1432.33005) Full Text: DOI OA License
Guo, Victor J. W.; Lian, Xiuguo Proofs of two conjectures on Catalan triangle numbers. (English) Zbl 1397.05024 J. Difference Equ. Appl. 24, No. 9, 1473-1487 (2018). MSC: 05A30 05A10 11B65 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{X. Lian}, J. Difference Equ. Appl. 24, No. 9, 1473--1487 (2018; Zbl 1397.05024) Full Text: DOI arXiv
Masjed-Jamei, Mohammad; Koepf, Wolfram Two finite hypergeometric sequences of discrete orthogonal polynomials. (English) Zbl 1407.42015 J. Difference Equ. Appl. 24, No. 9, 1429-1443 (2018). Reviewer: Lotfi Khériji (Tunis) MSC: 42C05 33E30 33C47 33C45 33C20 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{W. Koepf}, J. Difference Equ. Appl. 24, No. 9, 1429--1443 (2018; Zbl 1407.42015) Full Text: DOI
Mu, Yan-Ping Recurrence relations for the connection coefficients of classical orthogonal polynomials. (English) Zbl 1391.33025 Integral Transforms Spec. Funct. 29, No. 7, 543-552 (2018). MSC: 33C45 33D15 33F10 PDFBibTeX XMLCite \textit{Y.-P. Mu}, Integral Transforms Spec. Funct. 29, No. 7, 543--552 (2018; Zbl 1391.33025) Full Text: DOI
Tcheutia, Daniel D.; Jooste, Alta S.; Koepf, Wolfram Quasi-orthogonality of some hypergeometric and \(q\)-hypergeometric polynomials. (English) Zbl 1391.33012 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 051, 26 p. (2018). MSC: 33C05 12D10 33C45 33D15 33F10 PDFBibTeX XMLCite \textit{D. D. Tcheutia} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 051, 26 p. (2018; Zbl 1391.33012) Full Text: DOI arXiv
Grylonakis, E. N. G.; Filelis-Papadopoulos, C. K.; Gravvanis, G. A. A class of unified transform techniques for solving linear elliptic PDEs in convex polygons. (English) Zbl 1394.65154 Appl. Numer. Math. 129, 159-180 (2018). MSC: 65N35 35J60 35J15 35J05 65N80 PDFBibTeX XMLCite \textit{E. N. G. Grylonakis} et al., Appl. Numer. Math. 129, 159--180 (2018; Zbl 1394.65154) Full Text: DOI
de Hon, Bastiaan P.; Floris, Sander J.; Arnold, John M. No-neighbours recurrence schemes for space-time Green’s functions on a 3D simple cubic lattice. (English) Zbl 1392.65111 J. Phys. A, Math. Theor. 51, No. 8, Article ID 085201, 38 p. (2018). Reviewer: Ioannis Dassios (Thrakomakedones) MSC: 65M06 65Q30 PDFBibTeX XMLCite \textit{B. P. de Hon} et al., J. Phys. A, Math. Theor. 51, No. 8, Article ID 085201, 38 p. (2018; Zbl 1392.65111) Full Text: DOI
Tcheutia, D. D.; Njionou Sadjang, P.; Koepf, W.; Foupouagnigni, M. Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner-Pollaczek polynomials. (English) Zbl 1382.33008 Ramanujan J. 45, No. 1, 33-56 (2018). MSC: 33C05 33C45 33F10 39A13 PDFBibTeX XMLCite \textit{D. D. Tcheutia} et al., Ramanujan J. 45, No. 1, 33--56 (2018; Zbl 1382.33008) Full Text: DOI
Tcheutia, D. D.; Jooste, A. S.; Koepf, W. Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials. (English) Zbl 1379.65014 Appl. Numer. Math. 125, 86-102 (2018). MSC: 65D20 33D45 65Q30 PDFBibTeX XMLCite \textit{D. D. Tcheutia} et al., Appl. Numer. Math. 125, 86--102 (2018; Zbl 1379.65014) Full Text: DOI
Chen, Shaoshi; van Hoeij, Mark; Kauers, Manuel; Koutschan, Christoph Reduction-based creative telescoping for Fuchsian D-finite functions. (English) Zbl 1379.68363 J. Symb. Comput. 85, 108-127 (2018). MSC: 68W30 12H20 33F10 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Symb. Comput. 85, 108--127 (2018; Zbl 1379.68363) Full Text: DOI arXiv
Ibrahim, Rabha W.; Kılıçman, Adem; Abdulnaby, Zainab E. Boundedness of fractional differential operator in complex spaces. (English) Zbl 1386.30019 Asian-Eur. J. Math. 10, No. 4, Article ID 1750075, 12 p. (2017). MSC: 30C45 30C55 PDFBibTeX XMLCite \textit{R. W. Ibrahim} et al., Asian-Eur. J. Math. 10, No. 4, Article ID 1750075, 12 p. (2017; Zbl 1386.30019) Full Text: DOI
Liu, Ji-Cai; van der Kallen, Wilberd Proof of Sun’s conjectures on Schröder-like numbers. (English) Zbl 1428.11011 Int. J. Number Theory 13, No. 6, 1627-1638 (2017). MSC: 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{J.-C. Liu} and \textit{W. van der Kallen}, Int. J. Number Theory 13, No. 6, 1627--1638 (2017; Zbl 1428.11011) Full Text: DOI
Guo, Victor J. W.; Liu, Ji-Cai Proof of a congruence on sums of powers of \(q\)-binomial coefficients. (English) Zbl 1428.11009 Int. J. Number Theory 13, No. 6, 1571-1577 (2017). MSC: 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J.-C. Liu}, Int. J. Number Theory 13, No. 6, 1571--1577 (2017; Zbl 1428.11009) Full Text: DOI arXiv
Masjed-Jamei, Mohammad; Koepf, Wolfram Symbolic computation of some power-trigonometric series. (English) Zbl 1356.33013 J. Symb. Comput. 80, Part 2, 273-284 (2017). MSC: 33F10 33B10 42A32 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{W. Koepf}, J. Symb. Comput. 80, Part 2, 273--284 (2017; Zbl 1356.33013) Full Text: DOI
Guo, Victor J. W.; Mao, Guo-Shuai; Pan, Hao Proof of a conjecture involving Sun polynomials. (English) Zbl 1468.11006 J. Difference Equ. Appl. 22, No. 8, 1184-1197 (2016). MSC: 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{V. J. W. Guo} et al., J. Difference Equ. Appl. 22, No. 8, 1184--1197 (2016; Zbl 1468.11006) Full Text: DOI arXiv
Rajković, Predrag; Hinterleitner, Franz; Marinković, Sladjana Polynomials associated with a functional product of the Hermite type. (English) Zbl 1342.33026 Math. Methods Appl. Sci. 39, No. 9, 2358-2367 (2016). MSC: 33C45 11B83 PDFBibTeX XMLCite \textit{P. Rajković} et al., Math. Methods Appl. Sci. 39, No. 9, 2358--2367 (2016; Zbl 1342.33026) Full Text: DOI
Guo, Victor J. W.; Liu, Ji-Cai Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums. (English) Zbl 1346.11016 Int. J. Number Theory 12, No. 3, 615-623 (2016). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 33F10 11A07 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J.-C. Liu}, Int. J. Number Theory 12, No. 3, 615--623 (2016; Zbl 1346.11016) Full Text: DOI arXiv
Tcheutia, D. D.; Foupouagnigni, M.; Koepf, W.; Sadjang, P. Njionou Coefficients of multiplication formulas for classical orthogonal polynomials. (English) Zbl 1334.33028 Ramanujan J. 39, No. 3, 497-531 (2016). MSC: 33C45 33D45 33D15 33F10 68W30 PDFBibTeX XMLCite \textit{D. D. Tcheutia} et al., Ramanujan J. 39, No. 3, 497--531 (2016; Zbl 1334.33028) Full Text: DOI
Sadjang, P. Njionou; Koepf, W.; Foupouagnigni, M. On structure formulas for Wilson polynomials. (English) Zbl 1331.33011 Integral Transforms Spec. Funct. 26, No. 10, 1000-1014 (2015). Reviewer: István Mező (Debrecen) MSC: 33C20 33D45 42C05 PDFBibTeX XMLCite \textit{P. N. Sadjang} et al., Integral Transforms Spec. Funct. 26, No. 10, 1000--1014 (2015; Zbl 1331.33011) Full Text: DOI
Koepf, Wolfram; Chiadjeu, Etienne Nana Algorithmic approach for formal Fourier series. (English) Zbl 1341.68313 Math. Comput. Sci. 9, No. 3, 365-389 (2015). MSC: 68W30 33F10 42C15 PDFBibTeX XMLCite \textit{W. Koepf} and \textit{E. N. Chiadjeu}, Math. Comput. Sci. 9, No. 3, 365--389 (2015; Zbl 1341.68313) Full Text: DOI
Guo, Victor J. W.; Liu, Ji-Cai Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum. (English) Zbl 1395.11009 J. Number Theory 156, 154-160 (2015). MSC: 11A07 11B65 05A10 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J.-C. Liu}, J. Number Theory 156, 154--160 (2015; Zbl 1395.11009) Full Text: DOI arXiv
Faber, Laura; Kadiri, Habiba New bounds for \(\psi(x)\). (English) Zbl 1310.11085 Math. Comput. 84, No. 293, 1339-1357 (2015); corrigendum ibid. 87, No. 311, 1451-1455 (2018). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 11M26 PDFBibTeX XMLCite \textit{L. Faber} and \textit{H. Kadiri}, Math. Comput. 84, No. 293, 1339--1357 (2015; Zbl 1310.11085) Full Text: DOI arXiv
Chen, Shaoshi; Chyzak, Frédéric; Feng, Ruyong; Fu, Guofeng; Li, Ziming On the existence of telescopers for mixed hypergeometric terms. (English) Zbl 1303.33024 J. Symb. Comput. 68, Part 1, 1-26 (2015). MSC: 33F10 PDFBibTeX XMLCite \textit{S. Chen} et al., J. Symb. Comput. 68, Part 1, 1--26 (2015; Zbl 1303.33024) Full Text: DOI arXiv HAL
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
Ebisu, Akihito On a strange evaluation of the hypergeometric series by Gosper. (English) Zbl 1279.33005 Ramanujan J. 32, No. 1, 101-108 (2013). MSC: 33C05 PDFBibTeX XMLCite \textit{A. Ebisu}, Ramanujan J. 32, No. 1, 101--108 (2013; Zbl 1279.33005) Full Text: DOI arXiv
Bracciali, Cleonice F.; Pérez, Teresa E.; Piñar, Miguel A. Stieltjes functions and discrete classical orthogonal polynomials. (English) Zbl 1279.42026 Comput. Appl. Math. 32, No. 3, 537-547 (2013). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., Comput. Appl. Math. 32, No. 3, 537--547 (2013; Zbl 1279.42026) Full Text: DOI
Guo, Victor J. W. Proof of two conjectures of Sun on congruences for Franel numbers. (English) Zbl 1360.11006 Integral Transforms Spec. Funct. 24, No. 7, 532-539 (2013). MSC: 11A07 11B65 05A10 05A19 PDFBibTeX XMLCite \textit{V. J. W. Guo}, Integral Transforms Spec. Funct. 24, No. 7, 532--539 (2013; Zbl 1360.11006) Full Text: DOI arXiv
Hon, Y. C.; Schaback, R. Solving the 3D Laplace equation by meshless collocation via harmonic kernels. (English) Zbl 1272.65096 Adv. Comput. Math. 38, No. 1, 1-19 (2013). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N35 65N80 65N12 35J05 65N15 PDFBibTeX XMLCite \textit{Y. C. Hon} and \textit{R. Schaback}, Adv. Comput. Math. 38, No. 1, 1--19 (2013; Zbl 1272.65096) Full Text: DOI
Manako, V. V. A connection formula between double hypergeometric series \(\Psi_2\) and \(\Phi_3\). (English) Zbl 1257.33005 Integral Transforms Spec. Funct. 23, No. 7, 503-508 (2012). Reviewer: Roelof Koekoek (Delft) MSC: 33C15 33C70 PDFBibTeX XMLCite \textit{V. V. Manako}, Integral Transforms Spec. Funct. 23, No. 7, 503--508 (2012; Zbl 1257.33005) Full Text: DOI
Foupouagnigni, M.; Koepf, W.; Tcheutia, D. D.; Sadjang, P. Njionou Representations of \(q\)-orthogonal polynomials. (English) Zbl 1247.33015 J. Symb. Comput. 47, No. 11, 1347-1371 (2012). MSC: 33C45 33D45 33C20 PDFBibTeX XMLCite \textit{M. Foupouagnigni} et al., J. Symb. Comput. 47, No. 11, 1347--1371 (2012; Zbl 1247.33015) Full Text: DOI
Masjed-Jamei, Mohammad; Koepf, Wolfram Two classes of special functions using Fourier transforms of generalized ultraspherical and generalized Hermite polynomials. (English) Zbl 1246.33005 Proc. Am. Math. Soc. 140, No. 6, 2053-2063 (2012). Reviewer: Nele De Schepper (Gent) MSC: 33C45 42A38 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{W. Koepf}, Proc. Am. Math. Soc. 140, No. 6, 2053--2063 (2012; Zbl 1246.33005) Full Text: DOI
Grzelak, Lech A.; Oosterlee, Cornelis W.; Van Weeren, Sacha The affine Heston model with correlated Gaussian interest rates for pricing hybrid derivatives. (English) Zbl 1277.91171 Quant. Finance 11, No. 11, 1647-1663 (2011). MSC: 91G20 60H30 60E10 91G30 91G60 PDFBibTeX XMLCite \textit{L. A. Grzelak} et al., Quant. Finance 11, No. 11, 1647--1663 (2011; Zbl 1277.91171) Full Text: DOI Link
Ma, X. R.; Hsu, L. C. A further investigation of a pair of series transformation formulas with applications. (English) Zbl 1229.65004 J. Difference Equ. Appl. 17, No. 10, 1519-1535 (2011). Reviewer: Antonio López-Carmona (Granada) MSC: 65B10 PDFBibTeX XMLCite \textit{X. R. Ma} and \textit{L. C. Hsu}, J. Difference Equ. Appl. 17, No. 10, 1519--1535 (2011; Zbl 1229.65004) Full Text: DOI
Stanimirović, Stefan Some identities on Catalan numbers and hypergeometric functions via Catalan matrix power. (English) Zbl 1222.15035 Appl. Math. Comput. 217, No. 22, 9122-9132 (2011). Reviewer: John D. Dixon (Ottawa) MSC: 15B36 05A10 33C05 15A24 PDFBibTeX XMLCite \textit{S. Stanimirović}, Appl. Math. Comput. 217, No. 22, 9122--9132 (2011; Zbl 1222.15035) Full Text: DOI
Brereton, Justin; Farid, Amelia; Karnib, Maryam; Marple, Gary; Quenon, Alex; Tefera, Akalu Combinatorial and automated proofs of certain identities. (English) Zbl 1229.05036 Electron. J. Comb. 18, No. 2, Research Paper P14, 14 p. (2011). MSC: 05A19 05A10 PDFBibTeX XMLCite \textit{J. Brereton} et al., Electron. J. Comb. 18, No. 2, Research Paper P14, 14 p. (2011; Zbl 1229.05036) Full Text: EuDML EMIS
Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. Orthogonal polynomials in two variables as solutions of higher order partial differential equations. (English) Zbl 1214.33005 J. Approx. Theory 163, No. 1, 84-97 (2011). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{L. Fernández} et al., J. Approx. Theory 163, No. 1, 84--97 (2011; Zbl 1214.33005) Full Text: DOI
Stanimirović, Predrag; Stanimirović, Stefan Inverting linear combinations of identity and generalized Catalan matrices. (English) Zbl 1202.15034 Linear Algebra Appl. 433, No. 7, 1472-1480 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15B05 15A09 33C20 PDFBibTeX XMLCite \textit{P. Stanimirović} and \textit{S. Stanimirović}, Linear Algebra Appl. 433, No. 7, 1472--1480 (2010; Zbl 1202.15034) Full Text: DOI
Bailey, D. H.; Borwein, J. M.; Crandall, R. E. Advances in the theory of box integrals. (English) Zbl 1227.11127 Math. Comput. 79, No. 271, 1839-1866 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11Y60 65D30 PDFBibTeX XMLCite \textit{D. H. Bailey} et al., Math. Comput. 79, No. 271, 1839--1866 (2010; Zbl 1227.11127) Full Text: DOI
Van Deun, Joris The Riemann \(\zeta \) function and asymptotics for Stieltjes fractions. (English) Zbl 1184.30002 Ramanujan J. 21, No. 1, 1-16 (2010). MSC: 30B70 44A05 11M06 41A60 11J70 PDFBibTeX XMLCite \textit{J. Van Deun}, Ramanujan J. 21, No. 1, 1--16 (2010; Zbl 1184.30002) Full Text: DOI
Hou, Qing-Hu; Mu, Yan-Ping Hypergeometric series solutions of linear operator equations. (English) Zbl 1183.33011 Appl. Math. Comput. 215, No. 10, 3731-3739 (2010). MSC: 33C20 33C45 PDFBibTeX XMLCite \textit{Q.-H. Hou} and \textit{Y.-P. Mu}, Appl. Math. Comput. 215, No. 10, 3731--3739 (2010; Zbl 1183.33011) Full Text: DOI
Segura, Javier Interlacing of the zeros of contiguous hypergeometric functions. (English) Zbl 1171.33008 Numer. Algorithms 49, No. 1-4, 387-407 (2008). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 33C05 34K06 PDFBibTeX XMLCite \textit{J. Segura}, Numer. Algorithms 49, No. 1--4, 387--407 (2008; Zbl 1171.33008) Full Text: DOI
Feng, Ruyong; Gao, Xiao-Shan; Huang, Zhenyu Rational solutions of ordinary difference equations. (English) Zbl 1178.39001 J. Symb. Comput. 43, No. 10, 746-763 (2008). MSC: 39-04 39A10 68W30 PDFBibTeX XMLCite \textit{R. Feng} et al., J. Symb. Comput. 43, No. 10, 746--763 (2008; Zbl 1178.39001) Full Text: DOI
Koepf, Wolfram; Masjed-Jamei, Mohammad Two classes of special functions using Fourier transforms of some finite classes of classical orthogonal polynomials. (English) Zbl 1125.33005 Proc. Am. Math. Soc. 135, No. 11, 3599-3606 (2007). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 33C47 42C05 33C20 33B15 42A38 PDFBibTeX XMLCite \textit{W. Koepf} and \textit{M. Masjed-Jamei}, Proc. Am. Math. Soc. 135, No. 11, 3599--3606 (2007; Zbl 1125.33005) Full Text: DOI
Guo, Victor J. W.; Zeng, Jiang Short proofs of summation and transformation formulas for basic hypergeometric series. (English) Zbl 1106.33017 J. Math. Anal. Appl. 327, No. 1, 310-325 (2007). Reviewer: Wolfram Koepf (Kassel) MSC: 33F10 33D15 PDFBibTeX XMLCite \textit{V. J. W. Guo} and \textit{J. Zeng}, J. Math. Anal. Appl. 327, No. 1, 310--325 (2007; Zbl 1106.33017) Full Text: DOI arXiv
Grossman, George; Tefera, Akalu; Zeleke, Aklilu Summation identities for representation of certain real numbers. (English) Zbl 1117.33016 Int. J. Math. Math. Sci. 2006, No. 5, 78739, 8 p. (2006). Reviewer: Juri M. Rappoport (Moskva) MSC: 33F10 11B39 PDFBibTeX XMLCite \textit{G. Grossman} et al., Int. J. Math. Math. Sci. 2006, No. 5, 78739, 8 p. (2006; Zbl 1117.33016) Full Text: DOI EuDML
Maier, Robert S. A generalization of Euler’s hypergeometric transformation. (English) Zbl 1078.33004 Trans. Am. Math. Soc. 358, No. 1, 39-57 (2006). Reviewer: Hari M. Srivastava (Victoria) MSC: 33C20 33C05 34M05 PDFBibTeX XMLCite \textit{R. S. Maier}, Trans. Am. Math. Soc. 358, No. 1, 39--57 (2006; Zbl 1078.33004) Full Text: DOI arXiv
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
Janardan, Konanur. G. A discrete distribution associated with a pure birth process. (English) Zbl 1105.60014 Stat. Pap. 46, No. 4, 587-597 (2005). MSC: 60E05 60J75 PDFBibTeX XMLCite \textit{Konanur. G. Janardan}, Stat. Pap. 46, No. 4, 587--597 (2005; Zbl 1105.60014) Full Text: DOI
Koepf, Wolfram; Schmersau, Dieter Positivity and monotony properties of the de Branges functions. (English) Zbl 1065.30011 J. Comput. Appl. Math. 173, No. 2, 279-294 (2005). Reviewer: Nikola Tuneski (Skopje) MSC: 30C50 30C45 PDFBibTeX XMLCite \textit{W. Koepf} and \textit{D. Schmersau}, J. Comput. Appl. Math. 173, No. 2, 279--294 (2005; Zbl 1065.30011) 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
Böing, Harald; Koepf, Wolfram Algorithms for \(q\)-hypergeometric summation in computer algebra. (English) Zbl 0946.65008 J. Symb. Comput. 28, No. 6, 777-799 (1999). Reviewer: D.Petcu (Timişoara) MSC: 65D20 33D45 68W30 33F10 33D15 PDFBibTeX XMLCite \textit{H. Böing} and \textit{W. Koepf}, J. Symb. Comput. 28, No. 6, 777--799 (1999; Zbl 0946.65008) Full Text: DOI