Aktaş, Rabia; Şahin, Receb; Taşdelen, Fatma Multivariable Jacobi polynomials via fractional calculus. (English) Zbl 1488.33026 J. Fract. Calc. Appl. 4, No. 2, 335-348 (2013). MSC: 33C45 26A33 PDFBibTeX XMLCite \textit{R. Aktaş} et al., J. Fract. Calc. Appl. 4, No. 2, 335--348 (2013; Zbl 1488.33026) Full Text: Link
Akishev, G. Similar to orthogonal system and an inequality of different metrics in Lorentz-Zygmund space. (Russian. English summary) Zbl 1488.42009 Mat. Zh. 13, No. 1, 5-16 (2013). MSC: 42A10 PDFBibTeX XMLCite \textit{G. Akishev}, Mat. Zh. 13, No. 1, 5--16 (2013; Zbl 1488.42009)
Conder, Marston; Dobson, Edward; Ito, Tatsuro PhD summer school in discrete mathematics. Lecture notes, Rogla, Slovenia, June 16–21, 2013. (English) Zbl 1470.05004 Famnit Lectures/Famnitova Predavanja 2. Koper: University of Primorska Press (ISBN 978-961-6832-62-5/ebook). v, 100 p., open access (2013). MSC: 05-06 05Cxx 05E30 33D45 00B25 PDFBibTeX XMLCite \textit{M. Conder} et al., PhD summer school in discrete mathematics. Lecture notes, Rogla, Slovenia, June 16--21, 2013. Koper: University of Primorska Press (2013; Zbl 1470.05004) Full Text: Link
Nikolov, Geno P. On Turan’s inequality for ultraspherical polynomials. (English) Zbl 1474.41019 God. Sofiĭ. Univ., Fak. Mat. Inform. 101, 105-114 (2013). MSC: 41A17 33C45 PDFBibTeX XMLCite \textit{G. P. Nikolov}, God. Sofiĭ. Univ., Fak. Mat. Inform. 101, 105--114 (2013; Zbl 1474.41019) Full Text: Link
Nemri, Akram On the connection between heat and wave problems in quantum calculus and applications. (English) Zbl 1528.44004 Math. Mech. Solids 18, No. 8, 849-860 (2013). MSC: 44A20 05A30 33D05 33D45 PDFBibTeX XMLCite \textit{A. Nemri}, Math. Mech. Solids 18, No. 8, 849--860 (2013; Zbl 1528.44004) Full Text: DOI
Antipov, Y. A.; Smirnov, A. V. Subsonic propagation of a crack parallel to the boundary of a half-plane. (English) Zbl 1528.74094 Math. Mech. Solids 18, No. 2, 153-167 (2013). MSC: 74R10 74H10 45F15 30E25 PDFBibTeX XMLCite \textit{Y. A. Antipov} and \textit{A. V. Smirnov}, Math. Mech. Solids 18, No. 2, 153--167 (2013; Zbl 1528.74094) Full Text: DOI
Filipuk, Galina; Smet, Christophe On the recurrence coefficients for generalized \(q\)-Laguerre polynomials. (English) Zbl 1420.39004 J. Nonlinear Math. Phys. 20, Suppl. 1, 48-56 (2013). MSC: 39A13 34M55 33C45 PDFBibTeX XMLCite \textit{G. Filipuk} and \textit{C. Smet}, J. Nonlinear Math. Phys. 20, 48--56 (2013; Zbl 1420.39004) Full Text: DOI
Bouzeffour, Fethi; Zagouhani, Ali \(q\)-oscillator algebra and \(d\)-orthogonal polynomials. (English) Zbl 1421.81060 J. Nonlinear Math. Phys. 20, No. 4, 480-494 (2013). MSC: 81R30 81R60 33D52 PDFBibTeX XMLCite \textit{F. Bouzeffour} and \textit{A. Zagouhani}, J. Nonlinear Math. Phys. 20, No. 4, 480--494 (2013; Zbl 1421.81060) Full Text: DOI
Çekım, Bayram; Altin, Abdullah New matrix formulas for Laguerre matrix polynomials. (English) Zbl 1412.33016 J. Class. Anal. 3, No. 1, 59-67 (2013). MSC: 33C45 15A60 PDFBibTeX XMLCite \textit{B. Çekım} and \textit{A. Altin}, J. Class. Anal. 3, No. 1, 59--67 (2013; Zbl 1412.33016) Full Text: DOI
Cohl, Howard S.; MacKenzie, Connor Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals. (English) Zbl 1412.33017 J. Class. Anal. 3, No. 1, 17-33 (2013). MSC: 33C45 05A15 33C05 34L10 30E20 PDFBibTeX XMLCite \textit{H. S. Cohl} and \textit{C. MacKenzie}, J. Class. Anal. 3, No. 1, 17--33 (2013; Zbl 1412.33017) Full Text: DOI arXiv
Bojdi, Z. Kalateh; Ahmadi-Asl, S.; Aminataei, A. Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients. (English) Zbl 1424.33021 J. Linear Topol. Algebra 2, No. 2, 91-103 (2013). MSC: 33C45 34B15 PDFBibTeX XMLCite \textit{Z. K. Bojdi} et al., J. Linear Topol. Algebra 2, No. 2, 91--103 (2013; Zbl 1424.33021) Full Text: Link
Hansen, Thorkild B. Translation operator based on Gaussian beams for the fast multipole method in three dimensions. (English) Zbl 1454.35061 Wave Motion 50, No. 5, 940-954 (2013). MSC: 35J05 33C10 33C45 65N99 PDFBibTeX XMLCite \textit{T. B. Hansen}, Wave Motion 50, No. 5, 940--954 (2013; Zbl 1454.35061) Full Text: DOI
Hansen, Thorkild B. Translation operators based on Gaussian beams for the fast multipole method in two dimensions. (English) Zbl 1454.35060 Wave Motion 50, No. 4, 793-808 (2013). MSC: 35J05 33C10 33C45 65N99 PDFBibTeX XMLCite \textit{T. B. Hansen}, Wave Motion 50, No. 4, 793--808 (2013; Zbl 1454.35060) Full Text: DOI
Jung, Hee Sun; Sakai, Ryozi Higher-order Hermite-Fejér interpolation for Stieltjes polynomials. (English) Zbl 1397.41001 J. Appl. Math. 2013, Article ID 542653, 15 p. (2013). MSC: 41A05 65D05 33C45 PDFBibTeX XMLCite \textit{H. S. Jung} and \textit{R. Sakai}, J. Appl. Math. 2013, Article ID 542653, 15 p. (2013; Zbl 1397.41001) Full Text: DOI
Yang, Sheng-Liang; Zheng, Sai-Nan A determinant expression for the generalized Bessel polynomials. (English) Zbl 1397.33004 J. Appl. Math. 2013, Article ID 242815, 6 p. (2013). MSC: 33C10 33C45 11B83 PDFBibTeX XMLCite \textit{S.-L. Yang} and \textit{S.-N. Zheng}, J. Appl. Math. 2013, Article ID 242815, 6 p. (2013; Zbl 1397.33004) Full Text: DOI
Kazem, S.; Abbasbandy, S.; Kumar, Sunil Fractional-order Legendre functions for solving fractional-order differential equations. (English) Zbl 1449.33012 Appl. Math. Modelling 37, No. 7, 5498-5510 (2013). MSC: 33C45 26A33 34A08 65L60 PDFBibTeX XMLCite \textit{S. Kazem} et al., Appl. Math. Modelling 37, No. 7, 5498--5510 (2013; Zbl 1449.33012) Full Text: DOI
Valenza, Gaetano; Citi, Luca; Scilingo, Enzo Pasquale; Barbieri, Riccardo Point-process nonlinear models with Laguerre and Volterra expansions: instantaneous assessment of heartbeat dynamics. (English) Zbl 1393.94468 IEEE Trans. Signal Process. 61, No. 11, 2914-2926 (2013). MSC: 94A12 33C45 60G55 62P10 92C55 94A15 PDFBibTeX XMLCite \textit{G. Valenza} et al., IEEE Trans. Signal Process. 61, No. 11, 2914--2926 (2013; Zbl 1393.94468) Full Text: DOI
Bhrawy, Ali H.; Alghamdi, Mohammed A. The operational matrix of Caputo fractional derivatives of modified generalized Laguerre polynomials and its applications. (English) Zbl 1444.65023 Adv. Difference Equ. 2013, Paper No. 307, 19 p. (2013). MSC: 65J10 65L05 33C45 34A08 26A33 PDFBibTeX XMLCite \textit{A. H. Bhrawy} and \textit{M. A. Alghamdi}, Adv. Difference Equ. 2013, Paper No. 307, 19 p. (2013; Zbl 1444.65023) Full Text: DOI
Kim, Dae San; Kim, Taekyun Hermite and poly-Bernoulli mixed-type polynomials. (English) Zbl 1391.33024 Adv. Difference Equ. 2013, Paper No. 343, 12 p. (2013). MSC: 33C45 11B68 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Adv. Difference Equ. 2013, Paper No. 343, 12 p. (2013; Zbl 1391.33024) Full Text: DOI arXiv
Kargin, Levent; Kurt, Veli Some relations on Hermite matrix polynomials. (English) Zbl 1390.33023 Math. Comput. Appl. 18, No. 3, 323-329 (2013). MSC: 33C45 15A54 PDFBibTeX XMLCite \textit{L. Kargin} and \textit{V. Kurt}, Math. Comput. Appl. 18, No. 3, 323--329 (2013; Zbl 1390.33023) Full Text: DOI
Simsek, Yilmaz Identities associated with generalized Stirling type numbers and Eulerian type polynomials. (English) Zbl 1390.33024 Math. Comput. Appl. 18, No. 3, 251-263 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{Y. Simsek}, Math. Comput. Appl. 18, No. 3, 251--263 (2013; Zbl 1390.33024) Full Text: DOI
Kanas, Stanislawa; Tatarczak, Anna Generalized Meixner-Pollaczek polynomials. (English) Zbl 1392.33006 Adv. Difference Equ. 2013, Paper No. 131, 14 p. (2013). MSC: 33C45 30C10 30C45 PDFBibTeX XMLCite \textit{S. Kanas} and \textit{A. Tatarczak}, Adv. Difference Equ. 2013, Paper No. 131, 14 p. (2013; Zbl 1392.33006) Full Text: DOI
Mahmoud, Mansour Generalized \(q\)-Bessel function and its properties. (English) Zbl 1380.33011 Adv. Difference Equ. 2013, Paper No. 121, 11 p. (2013). MSC: 33D45 81R50 22E70 PDFBibTeX XMLCite \textit{M. Mahmoud}, Adv. Difference Equ. 2013, Paper No. 121, 11 p. (2013; Zbl 1380.33011) Full Text: DOI
Chen, Si; Cai, Yi; Luo, Qiu-Ming An extension of generalized Apostol-Euler polynomials. (English) Zbl 1380.11013 Adv. Difference Equ. 2013, Paper No. 61, 10 p. (2013). MSC: 11B68 11B73 33C45 PDFBibTeX XMLCite \textit{S. Chen} et al., Adv. Difference Equ. 2013, Paper No. 61, 10 p. (2013; Zbl 1380.11013) Full Text: DOI
Kim, Dae; Kim, Taekyun; Dolgy, Dmitry V.; Rim, Seog-Hoon Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus. (English) Zbl 1380.05005 Adv. Difference Equ. 2013, Paper No. 73, 11 p. (2013). MSC: 05A10 05A19 11B68 33C45 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2013, Paper No. 73, 11 p. (2013; Zbl 1380.05005) Full Text: DOI
Kaanoglu, Cem; Özarslan, Mehmet Ali Two-parameter Srivastava polynomials and several series identities. (English) Zbl 1380.33005 Adv. Difference Equ. 2013, Paper No. 81, 9 p. (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{C. Kaanoglu} and \textit{M. A. Özarslan}, Adv. Difference Equ. 2013, Paper No. 81, 9 p. (2013; Zbl 1380.33005) Full Text: DOI
El Hamma, M.; Daher, R. Dunkl transform of Dini-Lipschitz functions. (English) Zbl 1404.44008 Electron. J. Math. Anal. Appl. 1, No. 1, 9-14 (2013). MSC: 44A15 33C52 PDFBibTeX XMLCite \textit{M. El Hamma} and \textit{R. Daher}, Electron. J. Math. Anal. Appl. 1, No. 1, 9--14 (2013; Zbl 1404.44008) Full Text: Link
Florencio, Rafael; Boix, Rafael R.; Encinar, José A. Enhanced MoM analysis of the scattering by periodic strip gratings in multilayered substrates. (English) Zbl 1370.78189 IEEE Trans. Antennas Propag. 61, No. 10, 5088-5099 (2013). MSC: 78A48 78A45 33C45 45E05 PDFBibTeX XMLCite \textit{R. Florencio} et al., IEEE Trans. Antennas Propag. 61, No. 10, 5088--5099 (2013; Zbl 1370.78189) Full Text: DOI
Balakumar, V.; Murugesan, K. Numerical solution of systems of linear Volterra integral equations using block-pulse functions. (English) Zbl 1369.65172 Malaya J. Mat., Spec. Iss., 77-84 (2013). MSC: 65R20 33D45 45D05 45F05 PDFBibTeX XMLCite \textit{V. Balakumar} and \textit{K. Murugesan}, Malaya J. Mat., 77--84 (2013; Zbl 1369.65172) Full Text: Link
Samanta, K. P.; Chongdar, A. K. Unified theory of obtaining a novel class of bilateral generating relations of certain special functions by group theoretic method. (English) Zbl 1445.33020 J. Ramanujan Soc. Math. Math. Sci. 2, No. 1, 1-9 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{K. P. Samanta} and \textit{A. K. Chongdar}, J. Ramanujan Soc. Math. Math. Sci. 2, No. 1, 1--9 (2013; Zbl 1445.33020) 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
Grandati, Y.; Bérard, A. Comments on the generalized SUSY QM partnership for Darboux-Pöschl-Teller potential and exceptional Jacobi polynomials. (English) Zbl 1360.81179 J. Eng. Math. 82, 161-171 (2013). MSC: 81Q60 58J72 34C10 PDFBibTeX XMLCite \textit{Y. Grandati} and \textit{A. Bérard}, J. Eng. Math. 82, 161--171 (2013; Zbl 1360.81179) Full Text: DOI
Ta, Bao Quoc A note on the generalized Bernoulli and Euler polynomials. (English) Zbl 1370.11039 Eur. J. Pure Appl. Math. 6, No. 4, 405-412 (2013). MSC: 11B68 33C45 60E05 PDFBibTeX XMLCite \textit{B. Q. Ta}, Eur. J. Pure Appl. Math. 6, No. 4, 405--412 (2013; Zbl 1370.11039) Full Text: arXiv Link
Alipour, Mohsen; Rostamy, Davood; Baleanu, Dumitru Solving multi-dimensional fractional optimal control problems with inequality constraint by Bernstein polynomials operational matrices. (English) Zbl 1358.93097 J. Vib. Control 19, No. 16, 2523-2540 (2013). MSC: 93C23 26A33 33C45 PDFBibTeX XMLCite \textit{M. Alipour} et al., J. Vib. Control 19, No. 16, 2523--2540 (2013; Zbl 1358.93097) Full Text: DOI
Almeida, Ricardo; Khosravian-Arab, Hassan; Shamsi, Mostafa A generalized fractional variational problem depending on indefinite integrals: Euler-Lagrange equation and numerical solution. (English) Zbl 1358.93098 J. Vib. Control 19, No. 14, 2177-2186 (2013). MSC: 93C23 26A33 70G75 33C45 PDFBibTeX XMLCite \textit{R. Almeida} et al., J. Vib. Control 19, No. 14, 2177--2186 (2013; Zbl 1358.93098) Full Text: DOI
Anisimova, I. V.; Giniyatullina, R. R.; Ignat’ev, V. N. A method of computing nodes and weights of the Gauss-Christoffel quadratures. (Russian. English summary) Zbl 1356.65079 Mat. Model. 25, No. 3, 3-13 (2013). MSC: 65D30 PDFBibTeX XMLCite \textit{I. V. Anisimova} et al., Mat. Model. 25, No. 3, 3--13 (2013; Zbl 1356.65079) Full Text: DOI MNR
Landreman, Matt; Ernst, Darin R. New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions. (English) Zbl 1349.82094 J. Comput. Phys. 243, 130-150 (2013). MSC: 82C80 65N35 65N75 82C31 82D10 PDFBibTeX XMLCite \textit{M. Landreman} and \textit{D. R. Ernst}, J. Comput. Phys. 243, 130--150 (2013; Zbl 1349.82094) Full Text: DOI arXiv
Krasniqi, Xhevat Z. On the degree of approximation of a function by \((C,1)(E,q)\) means of its Fourier-Laguerre series. (English) Zbl 1399.42078 Int. J. Anal. Appl. 1, No. 1, 33-39 (2013). MSC: 42C10 40G05 41A25 PDFBibTeX XMLCite \textit{X. Z. Krasniqi}, Int. J. Anal. Appl. 1, No. 1, 33--39 (2013; Zbl 1399.42078) Full Text: Link
Robin, William A systematic ladder-operator approach to orthogonal polynomials. (English) Zbl 1389.33007 Gulf J. Math. 1, No. 2, 133-147 (2013). MSC: 33C45 33D45 42C05 35A24 PDFBibTeX XMLCite \textit{W. Robin}, Gulf J. Math. 1, No. 2, 133--147 (2013; Zbl 1389.33007) Full Text: Link
Moroz, Alexander On solvability and integrability of the Rabi model. (English) Zbl 1348.81255 Ann. Phys. 338, 319-340 (2013). MSC: 81Q80 81R12 33C45 37N20 PDFBibTeX XMLCite \textit{A. Moroz}, Ann. Phys. 338, 319--340 (2013; Zbl 1348.81255) Full Text: DOI arXiv
Dueñas, Herbert; García, Juan C.; Garza, Luis E.; Ramírez, Alejandro The diagonal general case of the Laguerre-Sobolev type orthogonal polynomials. (English) Zbl 1351.33012 Rev. Colomb. Mat. 47, No. 1, 39-66 (2013). MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{H. Dueñas} et al., Rev. Colomb. Mat. 47, No. 1, 39--66 (2013; Zbl 1351.33012) Full Text: Link
Rim, Seog-Hoon; Park, Jin-Woo; Kwon, Jongkyum; Pyo, Sung-Soo On the modified \(q\)-Euler polynomials with weight. (English) Zbl 1347.33028 Adv. Difference Equ. 2013, Paper No. 356, 7 p. (2013). MSC: 33C47 PDFBibTeX XMLCite \textit{S.-H. Rim} et al., Adv. Difference Equ. 2013, Paper No. 356, 7 p. (2013; Zbl 1347.33028) Full Text: DOI
Klimek, M.; Agrawal, O. P. Fractional Sturm-Liouville problem. (English) Zbl 1348.34018 Comput. Math. Appl. 66, No. 5, 795-812 (2013). MSC: 34A08 34B24 47E05 33C45 PDFBibTeX XMLCite \textit{M. Klimek} and \textit{O. P. Agrawal}, Comput. Math. Appl. 66, No. 5, 795--812 (2013; Zbl 1348.34018) Full Text: DOI
Lashkevich, Michael; Pugai, Yaroslav On form factors and Macdonald polynomials. (English) Zbl 1342.81187 J. High Energy Phys. 2013, No. 9, Paper No. 095, 17 p. (2013). MSC: 81R12 05E05 33D52 PDFBibTeX XMLCite \textit{M. Lashkevich} and \textit{Y. Pugai}, J. High Energy Phys. 2013, No. 9, Paper No. 095, 17 p. (2013; Zbl 1342.81187) Full Text: DOI arXiv
Znojil, M.; Geyer, H. B. Smeared quantum lattices exhibiting \(\mathscr{PT}\)-symmetry with positive \(\mathscr{P}\). (English) Zbl 1338.81426 Fortschr. Phys. 61, No. 2-3, 111-123 (2013). MSC: 81V55 82D25 81V70 81R05 81Q12 46C05 81Q80 42C10 PDFBibTeX XMLCite \textit{M. Znojil} and \textit{H. B. Geyer}, Fortschr. Phys. 61, No. 2--3, 111--123 (2013; Zbl 1338.81426) Full Text: DOI arXiv
Cigler, J. Book review of: V. H. Moll, Numbers and functions. From a classical-experimental mathematician’s point of view. (German) Zbl 1335.00019 Int. Math. Nachr., Wien 223, 45-46 (2013). MSC: 00A17 00A35 11-01 26A09 33B10 33B15 33C47 PDFBibTeX XMLCite \textit{J. Cigler}, Int. Math. Nachr., Wien 223, 45--46 (2013; Zbl 1335.00019)
Prodinger, H. Book review of: R. Koekoek et al., Hypergeometric orthogonal polynomials and their \(q\)-analogues. (German) Zbl 1335.00075 Int. Math. Nachr., Wien 223, 43-44 (2013). MSC: 00A17 33C45 33D45 PDFBibTeX XMLCite \textit{H. Prodinger}, Int. Math. Nachr., Wien 223, 43--44 (2013; Zbl 1335.00075)
Gupta, Vijay Combinations of integral operators. (English) Zbl 1336.41007 Appl. Math. Comput. 224, 876-881 (2013). MSC: 41A35 33C45 PDFBibTeX XMLCite \textit{V. Gupta}, Appl. Math. Comput. 224, 876--881 (2013; Zbl 1336.41007) Full Text: DOI
Mhaskar, Hrushikesh N.; Naumova, V.; Pereverzyev, S. V. Filtered Legendre expansion method for numerical differentiation at the boundary point with application to blood glucose predictions. (English) Zbl 1334.65058 Appl. Math. Comput. 224, 835-847 (2013). MSC: 65D25 33C45 92C50 PDFBibTeX XMLCite \textit{H. N. Mhaskar} et al., Appl. Math. Comput. 224, 835--847 (2013; Zbl 1334.65058) Full Text: DOI
Caruntu, Dumitru I. Eigenvalue singular problem of factorized fourth-order self-adjoint differential equations. (English) Zbl 1414.34066 Appl. Math. Comput. 224, 603-610 (2013). MSC: 34L05 33C45 34A05 74H45 74K10 PDFBibTeX XMLCite \textit{D. I. Caruntu}, Appl. Math. Comput. 224, 603--610 (2013; Zbl 1414.34066) Full Text: DOI
Alghamdi, Mohammed A.; Mursaleen, M. Hankel matrix transformation of the Walsh-Fourier series. (English) Zbl 1334.15072 Appl. Math. Comput. 224, 278-282 (2013). MSC: 15B05 42C10 PDFBibTeX XMLCite \textit{M. A. Alghamdi} and \textit{M. Mursaleen}, Appl. Math. Comput. 224, 278--282 (2013; Zbl 1334.15072) Full Text: DOI
Milovanović, Gradimir V.; Joksimović, Dušan Properties of Boubaker polynomials and an application to Love’s integral equation. (English) Zbl 1334.33027 Appl. Math. Comput. 224, 74-87 (2013). MSC: 33C45 45B05 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{D. Joksimović}, Appl. Math. Comput. 224, 74--87 (2013; Zbl 1334.33027) Full Text: DOI
Area, I.; Godoy, E.; Lamblém, R. L.; Sri Ranga, A. Basic hypergeometric polynomials with zeros on the unit circle. (English) Zbl 1334.33037 Appl. Math. Comput. 225, 622-630 (2013). MSC: 33D45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Comput. 225, 622--630 (2013; Zbl 1334.33037) Full Text: DOI
Abreu, Luís Daniel; Ciaurri, Óscar; Varona, Juan Luis The spectrum of the right inverse of the Dunkl operator. (English) Zbl 1334.42059 Rev. Mat. Complut. 26, No. 2, 471-483 (2013). MSC: 42C10 47A10 47A75 33C10 33C45 PDFBibTeX XMLCite \textit{L. D. Abreu} et al., Rev. Mat. Complut. 26, No. 2, 471--483 (2013; Zbl 1334.42059) Full Text: DOI
Weber, Wolfgang; Zastrau, Bernd W.; Anders, Bernd Calculating the right-eigenvectors of a special vibration chain by means of modified Laguerre polynomials. (English) Zbl 1330.15011 J. Theor. Appl. Mech., Sofia 43, No. 4, 17-28 (2013). MSC: 15A18 33C45 37F10 37K20 74H45 74H05 74H25 70J99 PDFBibTeX XMLCite \textit{W. Weber} et al., J. Theor. Appl. Mech., Sofia 43, No. 4, 17--28 (2013; Zbl 1330.15011)
Area, I.; Atakishiyev, N.; Godoy, E.; Rodal, J. Linear partial \(q\)-difference equations on \(q\)-linear lattices and their bivariate \(q\)-orthogonal polynomial solutions. (English) Zbl 1329.39011 Appl. Math. Comput. 223, 520-536 (2013). MSC: 39A13 33D45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Math. Comput. 223, 520--536 (2013; Zbl 1329.39011) Full Text: DOI arXiv
Castillo, Kenier; Garza, Lino G.; Marcellán, Francisco On computational aspects of discrete Sobolev inner products on the unit circle. (English) Zbl 1329.65086 Appl. Math. Comput. 223, 452-460 (2013). MSC: 65F30 33C45 42A16 65T40 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 223, 452--460 (2013; Zbl 1329.65086) Full Text: DOI Link
Sánchez-Moreno, P.; Dehesa, J. S.; Zarzo, A.; Guerrero, A. Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions. (English) Zbl 1329.33013 Appl. Math. Comput. 223, 25-33 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{P. Sánchez-Moreno} et al., Appl. Math. Comput. 223, 25--33 (2013; Zbl 1329.33013) Full Text: DOI
Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. Varying discrete Laguerre-Sobolev orthogonal polynomials: asymptotic behavior and zeros. (English) Zbl 1329.33012 Appl. Math. Comput. 222, 612-618 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} et al., Appl. Math. Comput. 222, 612--618 (2013; Zbl 1329.33012) Full Text: DOI
Dhaouadi, Lazhar \(q\)-prolate spheroidal wave functions and \(q\)-sampling theorem. (English) Zbl 1335.42033 Appl. Math. Comput. 222, 453-461 (2013). MSC: 42C10 94A20 33D99 PDFBibTeX XMLCite \textit{L. Dhaouadi}, Appl. Math. Comput. 222, 453--461 (2013; Zbl 1335.42033) Full Text: DOI
Woźny, Paweł A short note on Jacobi-Bernstein connection coefficients. (English) Zbl 1329.33014 Appl. Math. Comput. 222, 53-57 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{P. Woźny}, Appl. Math. Comput. 222, 53--57 (2013; Zbl 1329.33014) Full Text: DOI
Castillo, K.; Dimitrov, D. K.; Garza, L. E.; Rafaeli, F. R. Perturbations on the antidiagonals of Hankel matrices. (English) Zbl 1329.15057 Appl. Math. Comput. 221, 444-452 (2013). MSC: 15B05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 221, 444--452 (2013; Zbl 1329.15057) Full Text: DOI Link
Ostrovska, Sofiya; Özban, Ahmet Yaşar The \(q\)-Bernstein polynomials of the Cauchy kernel with a pole on \([0,1]\) in the case \(q>1\). (English) Zbl 1329.33026 Appl. Math. Comput. 220, 735-747 (2013). MSC: 33D45 PDFBibTeX XMLCite \textit{S. Ostrovska} and \textit{A. Y. Özban}, Appl. Math. Comput. 220, 735--747 (2013; Zbl 1329.33026) Full Text: DOI
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
Nisar, K. S.; Khan, Mumtaz Ahmad On binomial operator representations of some polynomials. (English) Zbl 1331.47070 Ital. J. Pure Appl. Math. 31, 15-20 (2013). MSC: 47F05 33C45 PDFBibTeX XMLCite \textit{K. S. Nisar} and \textit{M. A. Khan}, Ital. J. Pure Appl. Math. 31, 15--20 (2013; Zbl 1331.47070) Full Text: Link
Pathan, M. A.; Bin-Saad, Maged G. Multidimensional generating relations suggested by a generating relation for hyper-Bessel functions. (English) Zbl 1331.33010 Ital. J. Pure Appl. Math. 30, 101-108 (2013). MSC: 33C15 33C45 PDFBibTeX XMLCite \textit{M. A. Pathan} and \textit{M. G. Bin-Saad}, Ital. J. Pure Appl. Math. 30, 101--108 (2013; Zbl 1331.33010) Full Text: Link
Porwal, S.; Singh, A. Partial sums of generalized class of harmonic univalent functions involving a Gaussian hypergeometric function. (English) Zbl 1340.30066 Acta Univ. Apulensis, Math. Inform. 33, 53-70 (2013). MSC: 30C45 33C05 33C45 PDFBibTeX XMLCite \textit{S. Porwal} and \textit{A. Singh}, Acta Univ. Apulensis, Math. Inform. 33, 53--70 (2013; Zbl 1340.30066)
Hoang, Thai V.; Tabbone, Salvatore Errata and comments on: “Generic orthogonal moments: Jacobi-Fourier moments for invariant image description”. (English) Zbl 1326.68320 Pattern Recognition 46, No. 11, 3148-3155 (2013). MSC: 68U10 68T10 PDFBibTeX XMLCite \textit{T. V. Hoang} and \textit{S. Tabbone}, Pattern Recognition 46, No. 11, 3148--3155 (2013; Zbl 1326.68320) Full Text: DOI
Karachik, V. V. On some special polynomials and functions. (Russian. English summary) Zbl 1330.33004 Sib. Èlektron. Mat. Izv. 10, 205-226 (2013). MSC: 33C47 33C45 PDFBibTeX XMLCite \textit{V. V. Karachik}, Sib. Èlektron. Mat. Izv. 10, 205--226 (2013; Zbl 1330.33004) Full Text: DOI
Svetov, I. E.; Polyakova, A. P. Comparison of two algorithms for the numerical solution of the two-dimensional vector tomography. (Russian. English summary) Zbl 1330.65208 Sib. Èlektron. Mat. Izv. 10, 90-108 (2013). MSC: 65R32 44A12 PDFBibTeX XMLCite \textit{I. E. Svetov} and \textit{A. P. Polyakova}, Sib. Èlektron. Mat. Izv. 10, 90--108 (2013; Zbl 1330.65208) Full Text: DOI
Harris, Lawrence A. Bivariate polynomial interpolation at the Geronimus nodes. (English) Zbl 1320.41001 Agranovsky, Mark (ed.) et al., Complex analysis and dynamical systems V. Proceedings of the 5th international conference on complex analysis and dynamical systems, Akko (Acre), Israel, May 22–27, 2011. Providence, RI: American Mathematical Society (AMS); Ramat Gan: Bar-Ilan University (ISBN 978-0-8218-9024-0/pbk; 978-1-4704-0970-8/ebook). Contemporary Mathematics 591. Israel Mathematical Conference Proceedings, 135-147 (2013). MSC: 41A05 42C05 41A55 41A63 PDFBibTeX XMLCite \textit{L. A. Harris}, Contemp. Math. 591, 135--147 (2013; Zbl 1320.41001) Full Text: DOI
Morais, J.; Kou, K. I.; Sprößig, W. Generalized holomorphic Szego kernel in 3D spheroids. (English) Zbl 1319.33001 Comput. Math. Appl. 65, No. 4, 576-588 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{J. Morais} et al., Comput. Math. Appl. 65, No. 4, 576--588 (2013; Zbl 1319.33001) Full Text: DOI
Tanaka, Hajime The Erdős-Ko-Rado basis for a Leonard system. (English) Zbl 1317.05185 Contrib. Discrete Math. 8, No. 2, 41-59 (2013). MSC: 05D05 05E30 33C45 33D45 PDFBibTeX XMLCite \textit{H. Tanaka}, Contrib. Discrete Math. 8, No. 2, 41--59 (2013; Zbl 1317.05185) Full Text: arXiv
Selezneva, I. A.; Ratis, Yu. L.; Hernández, E.; Pérez-Quiles, J.; Fernández de Córdoba, P. A code to calculate high order Legendre polynomials and functions. (English) Zbl 1323.65017 Rev. Acad. Colomb. Cienc. Exactas, Fis. Nat. 37, No. 145, 541-544 (2013). MSC: 65D20 33C45 33C55 PDFBibTeX XMLCite \textit{I. A. Selezneva} et al., Rev. Acad. Colomb. Cienc. Exactas, Fis. Nat. 37, No. 145, 541--544 (2013; Zbl 1323.65017)
Padam Priyal, S.; Bora, Prabin Kumar A robust static hand gesture recognition system using geometry based normalizations and Krawtchouk moments. (English) Zbl 1316.68129 Pattern Recognition 46, No. 8, 2202-2219 (2013). MSC: 68T10 33C45 PDFBibTeX XMLCite \textit{S. Padam Priyal} and \textit{P. K. Bora}, Pattern Recognition 46, No. 8, 2202--2219 (2013; Zbl 1316.68129) Full Text: DOI
Rusev, Peter Classical Hermite and Laguerre polynomials and the zero-distribution of Riemann’s \(\zeta\)-function. (English) Zbl 1324.33008 Serdica Math. J. 39, No. 2, 103-118 (2013). MSC: 33C45 11M26 42A38 PDFBibTeX XMLCite \textit{P. Rusev}, Serdica Math. J. 39, No. 2, 103--118 (2013; Zbl 1324.33008)
Fefferman, C. Smooth interpolation of data by efficient algorithms. (English) Zbl 1317.41002 Andrews, Travis D. (ed.) et al., Excursions in harmonic analysis. Volume 1. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006–2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8375-7/hbk; 978-0-8176-8376-4/ebook). Applied and Numerical Harmonic Analysis, 71-84 (2013). MSC: 41A05 65D05 42C10 PDFBibTeX XMLCite \textit{C. Fefferman}, in: Excursions in harmonic analysis. Volume 1. The February Fourier Talks at the Norbert Wiener Center, College Park, MD, USA, 2006--2011. New York, NY: Birkhäuser/Springer. 71--84 (2013; Zbl 1317.41002) Full Text: DOI
Çekim, Bayram; Altin, Abdullah; Aktaş, Rabia Some new results for Jacobi matrix polynomials. (English) Zbl 1433.33004 Filomat 27, No. 4, 713-719 (2013). MSC: 33C45 15A54 PDFBibTeX XMLCite \textit{B. Çekim} et al., Filomat 27, No. 4, 713--719 (2013; Zbl 1433.33004) Full Text: DOI
Salehbhai, I. A.; Shukla, A. K. The Laguerre transform in two variables and its application in partial differential equations. (English) Zbl 1515.35020 Appl. Math. Comput. 219, No. 9, 4650-4654 (2013). MSC: 35A22 33C45 PDFBibTeX XMLCite \textit{I. A. Salehbhai} and \textit{A. K. Shukla}, Appl. Math. Comput. 219, No. 9, 4650--4654 (2013; Zbl 1515.35020) Full Text: DOI
Sghaier, Mabrouk Rodrigues formula for the Dunkl-classical symmetric orthogonal polynomials. (English) Zbl 1324.42038 Filomat 27, No. 7, 1285-1290 (2013). MSC: 42C05 PDFBibTeX XMLCite \textit{M. Sghaier}, Filomat 27, No. 7, 1285--1290 (2013; Zbl 1324.42038) Full Text: DOI
Albayrak, Durmuş; Purohit, Sunil Dutt; Uçar, Faruk On \(q\)-Sumudu transforms of certain \(q\)-polynomials. (English) Zbl 1324.33014 Filomat 27, No. 2, 411-427 (2013). MSC: 33D45 33D60 33D05 33D15 PDFBibTeX XMLCite \textit{D. Albayrak} et al., Filomat 27, No. 2, 411--427 (2013; Zbl 1324.33014) Full Text: DOI
Aktaş, Rabia; Xu, Yuan Sobolev orthogonal polynomials on a simplex. (English) Zbl 1316.33006 Int. Math. Res. Not. 2013, No. 13, 3087-3131 (2013). MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{R. Aktaş} and \textit{Y. Xu}, Int. Math. Res. Not. 2013, No. 13, 3087--3131 (2013; Zbl 1316.33006) Full Text: DOI arXiv
Sen, Sarmistha; Das (Chaudhuri), J. On the hypergeometric differential equation satisfied by \(_{2}F_{0} (\lambda, \mu; - ; *)\). (English) Zbl 1315.33012 Tensor, New Ser. 74, No. 2, 145-155 (2013). MSC: 33C20 33C45 34A05 PDFBibTeX XMLCite \textit{S. Sen} and \textit{J. Das (Chaudhuri)}, Tensor, New Ser. 74, No. 2, 145--155 (2013; Zbl 1315.33012)
Krüger, Helge Orthogonal polynomials on the unit circle with Verblunsky coefficients defined by the skew-shift. (English) Zbl 1329.33011 Int. Math. Res. Not. 2013, No. 18, 4135-4169 (2013). Reviewer: María-José Cantero (Zaragoza) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{H. Krüger}, Int. Math. Res. Not. 2013, No. 18, 4135--4169 (2013; Zbl 1329.33011) Full Text: DOI arXiv Link
Yadav, Rajesh Kumar; Khare, Avinash; Mandal, Bhabani Prasad The scattering amplitude for one parameter family of shape invariant potentials related to \(X_m\) Jacobi polynomials. (English) Zbl 1311.81217 Phys. Lett., B 723, No. 4-5, 433-435 (2013). MSC: 81U15 33C45 PDFBibTeX XMLCite \textit{R. K. Yadav} et al., Phys. Lett., B 723, No. 4--5, 433--435 (2013; Zbl 1311.81217) Full Text: DOI arXiv
Carmona, A.; Encinas, A. M.; Gago, S. Boundary value problems for Schrödinger operators on a path associated to orthogonal polynomials. (English) Zbl 1314.39009 Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. Contributions from the international conference on differential and difference equations and applications in honour of Ravi P. Agarwal, Ponta Delgada, Portugal, July 4–8, 2011. New York, NY: Springer (ISBN 978-1-4614-7332-9/hbk; 978-1-4614-7333-6/ebook). Springer Proceedings in Mathematics & Statistics 47, 395-403 (2013). MSC: 39A12 39A10 34L40 42C05 34B27 PDFBibTeX XMLCite \textit{A. Carmona} et al., Springer Proc. Math. Stat. 47, 395--403 (2013; Zbl 1314.39009) Full Text: DOI
Chandra, B. C.; Alam, S.; Chongdar, A. K. Application of group theory to generating relations for special functions. (English) Zbl 1312.33025 J. Inequal. Spec. Funct. 4, No. 3, 29-37 (2013). MSC: 33C45 PDFBibTeX XMLCite \textit{B. C. Chandra} et al., J. Inequal. Spec. Funct. 4, No. 3, 29--37 (2013; Zbl 1312.33025)
Çevik, Ali Multivariable construction of extended Jacobi matrix polynomials. (English) Zbl 1312.33024 J. Inequal. Spec. Funct. 4, No. 3, 6-20 (2013). MSC: 33C45 15A60 PDFBibTeX XMLCite \textit{A. Çevik}, J. Inequal. Spec. Funct. 4, No. 3, 6--20 (2013; Zbl 1312.33024)
Khan, Rehana Operational and Lie algebraic techniques on Hermite polynomials. (Operational and Lie algebraic techaniques on Hermite polynomials.) (English) Zbl 1312.33030 J. Inequal. Spec. Funct. 4, No. 2, 43-53 (2013). MSC: 33C45 33C50 33C80 PDFBibTeX XMLCite \textit{R. Khan}, J. Inequal. Spec. Funct. 4, No. 2, 43--53 (2013; Zbl 1312.33030)
Koornwinder, Tom H. Orthogonal polynomials. (English) Zbl 1311.33007 Schneider, Carsten (ed.) et al., Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer (ISBN 978-3-7091-1615-9/hbk; 978-1-4614-8523-0/ebook). Texts and Monographs in Symbolic Computation, 145-170 (2013). MSC: 33C45 33C47 42C05 33F10 PDFBibTeX XMLCite \textit{T. H. Koornwinder}, in: Computer algebra in quantum field theory. Integration, summation and special functions. Wien: Springer. 145--170 (2013; Zbl 1311.33007) Full Text: DOI arXiv Link
Defez, Emilio A Rodrigues-type formula for Gegenbauer matrix polynomials. (English) Zbl 1310.33003 Appl. Math. Lett. 26, No. 8, 899-903 (2013). MSC: 33C45 15A54 PDFBibTeX XMLCite \textit{E. Defez}, Appl. Math. Lett. 26, No. 8, 899--903 (2013; Zbl 1310.33003) Full Text: DOI
Gupta, V. G.; Jangid, Nawal Kishor Some results on homogeneous generalized hypergeometric function and \(\overline H\)-function. (English) Zbl 1310.33008 Jñānābha 43, 97-106 (2013). MSC: 33C60 33C45 PDFBibTeX XMLCite \textit{V. G. Gupta} and \textit{N. K. Jangid}, Jñānābha 43, 97--106 (2013; Zbl 1310.33008)
Agrawal, B. D. Sets of orthogonal polynomials of discrete variables. (English) Zbl 1310.33010 Jñānābha 43, 13-26 (2013). MSC: 33C65 39A12 PDFBibTeX XMLCite \textit{B. D. Agrawal}, Jñānābha 43, 13--26 (2013; Zbl 1310.33010)
Liu, Shuoh-Jung; Lin, Shy-Der; Lu, Han-Chun; Srivastava, H. M. Linearization of the products of the generalized Lauricella polynomials and the multivariate laguerre polynomials via their integral representations. (English) Zbl 1324.33007 Stud. Sci. Math. Hung. 50, No. 3, 373-391 (2013). MSC: 33C45 33C65 42C05 PDFBibTeX XMLCite \textit{S.-J. Liu} et al., Stud. Sci. Math. Hung. 50, No. 3, 373--391 (2013; Zbl 1324.33007) Full Text: DOI
Goginava, Ushangi; Gogoladze, Larry A note on strong summability of two-dimensional Walsh-Fourier series. (English) Zbl 1324.42040 Period. Math. Hung. 66, No. 2, 211-219 (2013). MSC: 42C10 PDFBibTeX XMLCite \textit{U. Goginava} and \textit{L. Gogoladze}, Period. Math. Hung. 66, No. 2, 211--219 (2013; Zbl 1324.42040) Full Text: DOI
Varga, Tamás Christoffel functions for doubling measures on quasismooth curves and arcs. (English) Zbl 1324.42039 Acta Math. Hung. 141, No. 1-2, 161-184 (2013). MSC: 42C05 PDFBibTeX XMLCite \textit{T. Varga}, Acta Math. Hung. 141, No. 1--2, 161--184 (2013; Zbl 1324.42039) Full Text: DOI
Aryanmehr, S.; Dehghan, M.; Eslahchi, M. R. The weighted \((0,1,\dots, m -2,m)\)-interpolation technique based on the roots of the classical orthogonal polynomials and application in deriving new quadrature rules. (English) Zbl 1324.41001 Acta Math. Hung. 140, No. 4, 341-362 (2013). MSC: 41A05 41A10 65D30 PDFBibTeX XMLCite \textit{S. Aryanmehr} et al., Acta Math. Hung. 140, No. 4, 341--362 (2013; Zbl 1324.41001) Full Text: DOI
Langowski, B. Harmonic analysis operators related to symmetrized Jacobi expansions. (English) Zbl 1324.42041 Acta Math. Hung. 140, No. 3, 248-292 (2013). MSC: 42C10 42C05 42C20 PDFBibTeX XMLCite \textit{B. Langowski}, Acta Math. Hung. 140, No. 3, 248--292 (2013; Zbl 1324.42041) Full Text: DOI arXiv
Kroó, A.; Lubinsky, D. S. Christoffel functions and universality on the boundary of the ball. (English) Zbl 1340.42064 Acta Math. Hung. 140, No. 1-2, 117-133 (2013). Reviewer: Alla Boikova (Penza) MSC: 42C05 42C99 42B05 60B20 PDFBibTeX XMLCite \textit{A. Kroó} and \textit{D. S. Lubinsky}, Acta Math. Hung. 140, No. 1--2, 117--133 (2013; Zbl 1340.42064) Full Text: DOI
Cruz-Barroso, R.; Díaz Mendoza, C.; Orive, R. Orthogonal Laurent polynomials. A new algebraic approach. (English) Zbl 1309.33012 J. Math. Anal. Appl. 408, No. 1, 40-54 (2013). MSC: 33C45 35Q15 42C05 PDFBibTeX XMLCite \textit{R. Cruz-Barroso} et al., J. Math. Anal. Appl. 408, No. 1, 40--54 (2013; Zbl 1309.33012) Full Text: DOI