Wan, Jianjun; Dai, Guozheng; Chen, Shaochun; Dong, Wen; Song, Shicang Error estimation of anisotropic interpolation for serendipity elements of arbitrary degree. (English) Zbl 07748290 Appl. Math. Comput. 459, Article ID 128272, 16 p. (2023). MSC: 65D17 PDFBibTeX XMLCite \textit{J. Wan} et al., Appl. Math. Comput. 459, Article ID 128272, 16 p. (2023; Zbl 07748290) Full Text: DOI
Özat, Zeynep; Çekim, Bayram; Özarslan, Mehmet Ali \(\Delta_\omega\)-Laguerre based Appell polynomials and their properties associated with some special polynomials. (English) Zbl 07748276 Appl. Math. Comput. 459, Article ID 128136, 18 p. (2023). MSC: 11B68 11B83 33C45 PDFBibTeX XMLCite \textit{Z. Özat} et al., Appl. Math. Comput. 459, Article ID 128136, 18 p. (2023; Zbl 07748276) Full Text: DOI
Ross, I. M.; Proulx, R. J.; Borges, C. F. A universal Birkhoff pseudospectral method for solving boundary value problems. (English) Zbl 07704188 Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023). MSC: 41A05 33C45 65L10 65N35 41A10 PDFBibTeX XMLCite \textit{I. M. Ross} et al., Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023; Zbl 07704188) Full Text: DOI
Pucanović, Zoran; Pešović, Marko Chebyshev polynomials and \(r\)-circulant matrices. (English) Zbl 1510.11059 Appl. Math. Comput. 437, Article ID 127521, 13 p. (2023). MSC: 11B39 15B05 11B83 33C45 PDFBibTeX XMLCite \textit{Z. Pucanović} and \textit{M. Pešović}, Appl. Math. Comput. 437, Article ID 127521, 13 p. (2023; Zbl 1510.11059) Full Text: DOI
Huang, Yi-Bo; He, Yong Bessel-type inequality in semi-inner-product spaces and its application to stability analysis of discrete-time systems with distributed delays. (English) Zbl 1510.93189 Appl. Math. Comput. 427, Article ID 127163, 17 p. (2022). MSC: 93C55 93D05 15A45 33C45 PDFBibTeX XMLCite \textit{Y.-B. Huang} and \textit{Y. He}, Appl. Math. Comput. 427, Article ID 127163, 17 p. (2022; Zbl 1510.93189) Full Text: DOI
Church, Kevin E. M.; Duchesne, Gabriel William Rigorous continuation of periodic solutions for impulsive delay differential equations. (English) Zbl 1510.65128 Appl. Math. Comput. 415, Article ID 126733, 27 p. (2022). MSC: 65L03 33C45 34K13 34K45 PDFBibTeX XMLCite \textit{K. E. M. Church} and \textit{G. W. Duchesne}, Appl. Math. Comput. 415, Article ID 126733, 27 p. (2022; Zbl 1510.65128) Full Text: DOI
Yang, Yin; Wang, Jindi; Zhang, Shangyou; Tohidi, Emran Convergence analysis of space-time Jacobi spectral collocation method for solving time-fractional Schrödinger equations. (English) Zbl 1488.65525 Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020). MSC: 65M70 33C45 35Q40 41A55 41A25 65D32 35R09 45K05 45D05 35R11 26A33 65F10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Appl. Math. Comput. 387, Article ID 124489, 17 p. (2020; Zbl 1488.65525) Full Text: DOI
Occorsio, Donatella; Themistoclakis, Woula Uniform weighted approximation on the square by polynomial interpolation at Chebyshev nodes. (English) Zbl 1474.41081 Appl. Math. Comput. 385, Article ID 125457, 16 p. (2020). MSC: 41A81 41A10 33C45 65D05 PDFBibTeX XMLCite \textit{D. Occorsio} and \textit{W. Themistoclakis}, Appl. Math. Comput. 385, Article ID 125457, 16 p. (2020; Zbl 1474.41081) Full Text: DOI
García-Ancona, R.; Morais, J.; Porter, R. Michael Relations among spheroidal and spherical harmonics. (English) Zbl 1474.30262 Appl. Math. Comput. 384, Article ID 125147, 8 p. (2020). MSC: 30G35 33D50 PDFBibTeX XMLCite \textit{R. García-Ancona} et al., Appl. Math. Comput. 384, Article ID 125147, 8 p. (2020; Zbl 1474.30262) Full Text: DOI arXiv
Barrios Rolanía, D.; García-Ardila, J. C.; Manrique, D. On the Darboux transformations and sequences of \(p\)-orthogonal polynomials. (English) Zbl 1508.33010 Appl. Math. Comput. 382, Article ID 125337, 16 p. (2020). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., Appl. Math. Comput. 382, Article ID 125337, 16 p. (2020; Zbl 1508.33010) Full Text: DOI arXiv
Alberto, José; Brox, Jose Inverses of \(k\)-Toeplitz matrices with applications to resonator arrays with multiple receivers. (English) Zbl 1508.15019 Appl. Math. Comput. 377, Article ID 125185, 14 p. (2020). MSC: 15B05 15A09 15A15 42C05 94C05 PDFBibTeX XMLCite \textit{J. Alberto} and \textit{J. Brox}, Appl. Math. Comput. 377, Article ID 125185, 14 p. (2020; Zbl 1508.15019) Full Text: DOI
Wang, Xiaolong; Jiang, Yaolin Time domain model reduction of time-delay systems via orthogonal polynomial expansions. (English) Zbl 1433.93024 Appl. Math. Comput. 369, Article ID 124816, 11 p. (2020). MSC: 93B11 33C45 42C05 33C47 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Jiang}, Appl. Math. Comput. 369, Article ID 124816, 11 p. (2020; Zbl 1433.93024) Full Text: DOI
Srivastava, H. M.; Riyasat, Mumtaz; Khan, Subuhi; Araci, Serkan; Acikgoz, Mehmet A new approach to Legendre-truncated-exponential-based Sheffer sequences via Riordan arrays\(^\star \). (English) Zbl 1433.11026 Appl. Math. Comput. 369, Article ID 124683, 22 p. (2020). MSC: 11B83 12E10 11C20 33C47 33C45 PDFBibTeX XMLCite \textit{H. M. Srivastava} et al., Appl. Math. Comput. 369, Article ID 124683, 22 p. (2020; Zbl 1433.11026) Full Text: DOI
Branquinho, Amílcar; Foulquié-Moreno, Ana; García-Ardila, Juan C. Matrix Toda and Volterra lattices. (English) Zbl 1433.34021 Appl. Math. Comput. 365, Article ID 124722, 16 p. (2020). MSC: 34A33 42C05 15A23 30C10 37K10 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Appl. Math. Comput. 365, Article ID 124722, 16 p. (2020; Zbl 1433.34021) Full Text: DOI Link
Chen, Yang; Sikorowski, Jakub; Zhu, Mengkun Smallest eigenvalue of large Hankel matrices at critical point: comparing conjecture with parallelised computation. (English) Zbl 1433.15038 Appl. Math. Comput. 363, Article ID 124628, 18 p. (2019). MSC: 15B57 34E05 42C05 65F15 65Y05 15A18 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Comput. 363, Article ID 124628, 18 p. (2019; Zbl 1433.15038) Full Text: DOI arXiv
Rahman, Sharif Dimensionwise multivariate orthogonal polynomials in general probability spaces. (English) Zbl 1433.42031 Appl. Math. Comput. 362, Article ID 124538, 19 p. (2019). MSC: 42C05 33C47 62J10 41A63 PDFBibTeX XMLCite \textit{S. Rahman}, Appl. Math. Comput. 362, Article ID 124538, 19 p. (2019; Zbl 1433.42031) Full Text: DOI arXiv
Dattoli, G.; Sabia, E.; Palma, E. Di; Licciardi, S. Corrigendum to: “Products of Bessel functions and associated polynomials”. (English) Zbl 1428.33012 Appl. Math. Comput. 362, Article ID 124516, 2 p. (2019). MSC: 33C10 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Appl. Math. Comput. 362, Article ID 124516, 2 p. (2019; Zbl 1428.33012) Full Text: DOI
Zheng, Xiangcheng; Ervin, V. J.; Wang, Hong Spectral approximation of a variable coefficient fractional diffusion equation in one space dimension. (English) Zbl 1429.65289 Appl. Math. Comput. 361, 98-111 (2019). MSC: 65N35 33C45 35R11 35B65 PDFBibTeX XMLCite \textit{X. Zheng} et al., Appl. Math. Comput. 361, 98--111 (2019; Zbl 1429.65289) Full Text: DOI arXiv
Özarslan, Mehmet Ali; Kürt, Cemaliye Bivariate Mittag-Leffler functions arising in the solutions of convolution integral equation with 2D-Laguerre-Konhauser polynomials in the kernel. (English) Zbl 1428.33035 Appl. Math. Comput. 347, 631-644 (2019). MSC: 33D45 33E12 45A05 PDFBibTeX XMLCite \textit{M. A. Özarslan} and \textit{C. Kürt}, Appl. Math. Comput. 347, 631--644 (2019; Zbl 1428.33035) Full Text: DOI
Zhang, Chao; Wang, Tian-jun Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation. (English) Zbl 1429.65288 Appl. Math. Comput. 343, 328-341 (2019). MSC: 65N35 33C45 35K15 35K20 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{T.-j. Wang}, Appl. Math. Comput. 343, 328--341 (2019; Zbl 1429.65288) Full Text: DOI
Wang, Tianjun; Jiao, Yujian; Liu, Wenjie Pseudospectral method for Fisher equation in a disk. (English) Zbl 1429.65255 Appl. Math. Comput. 343, 30-48 (2019). MSC: 65M70 33C45 92D25 74L10 PDFBibTeX XMLCite \textit{T. Wang} et al., Appl. Math. Comput. 343, 30--48 (2019; Zbl 1429.65255) Full Text: DOI
Marcellán, Francisco; Marriaga, Misael; Pérez, Teresa E.; Piñar, Miguel A. On bivariate classical orthogonal polynomials. (English) Zbl 1428.33025 Appl. Math. Comput. 325, 340-357 (2018). MSC: 33C50 42C05 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} et al., Appl. Math. Comput. 325, 340--357 (2018; Zbl 1428.33025) Full Text: DOI
Castillo, K.; Costa, M. S.; Rafaeli, F. R. On Markov’s theorem on zeros of orthogonal polynomials revisited. (English) Zbl 1428.33021 Appl. Math. Comput. 339, 390-397 (2018). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 339, 390--397 (2018; Zbl 1428.33021) Full Text: DOI
Zhu, Mengkun; Chen, Yang; Emmart, Niall; Weems, Charles The smallest eigenvalue of large Hankel matrices. (English) Zbl 1427.15015 Appl. Math. Comput. 334, 375-387 (2018). MSC: 15A18 15A42 15B52 44A60 PDFBibTeX XMLCite \textit{M. Zhu} et al., Appl. Math. Comput. 334, 375--387 (2018; Zbl 1427.15015) Full Text: DOI arXiv
Branquinho, A.; Chen, Y.; Filipuk, G.; Rebocho, M. N. A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices. (English) Zbl 1427.33004 Appl. Math. Comput. 334, 356-366 (2018). MSC: 33C45 33C47 42C05 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Appl. Math. Comput. 334, 356--366 (2018; Zbl 1427.33004) Full Text: DOI Link
Campos, Rafael G.; Huet, Adolfo Numerical inversion of the Laplace transform and its application to fractional diffusion. (English) Zbl 1426.65036 Appl. Math. Comput. 327, 70-78 (2018). MSC: 65D32 65R32 44A10 65M30 33C45 PDFBibTeX XMLCite \textit{R. G. Campos} and \textit{A. Huet}, Appl. Math. Comput. 327, 70--78 (2018; Zbl 1426.65036) Full Text: DOI
Ezz-Eldien, S. S. On solving systems of multi-pantograph equations via spectral tau method. (English) Zbl 1426.65114 Appl. Math. Comput. 321, 63-73 (2018). MSC: 65L60 33C45 34K05 65L03 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien}, Appl. Math. Comput. 321, 63--73 (2018; Zbl 1426.65114) Full Text: DOI
Occorsio, Donatella; Russo, Maria Grazia Nyström methods for bivariate Fredholm integral equations on unbounded domains. (English) Zbl 1426.65217 Appl. Math. Comput. 318, 19-34 (2018). MSC: 65R20 45B05 65D32 41A55 PDFBibTeX XMLCite \textit{D. Occorsio} and \textit{M. G. Russo}, Appl. Math. Comput. 318, 19--34 (2018; Zbl 1426.65217) Full Text: DOI
Bachar, Mostafa; Guessab, Allal; Mohammed, Osama; Zaim, Yassine New cubature formulas and Hermite-Hadamard type inequalities using integrals over some hyperplanes in the \(d\)-dimensional hyper-rectangle. (English) Zbl 1426.65035 Appl. Math. Comput. 315, 347-362 (2017). MSC: 65D32 26D15 33C45 41A55 65D30 PDFBibTeX XMLCite \textit{M. Bachar} et al., Appl. Math. Comput. 315, 347--362 (2017; Zbl 1426.65035) Full Text: DOI
Mañas-Mañas, Juan F.; Marcellán, Francisco; Moreno-Balcázar, Juan J. Asymptotics for varying discrete Sobolev orthogonal polynomials. (English) Zbl 1426.33034 Appl. Math. Comput. 314, 65-79 (2017). MSC: 33C47 42C05 33C45 PDFBibTeX XMLCite \textit{J. F. Mañas-Mañas} et al., Appl. Math. Comput. 314, 65--79 (2017; Zbl 1426.33034) Full Text: DOI
De Bonis, Maria Carmela; Occorsio, Donatella Numerical computation of hypersingular integrals on the real semiaxis. (English) Zbl 1426.65033 Appl. Math. Comput. 313, 367-383 (2017). MSC: 65D30 41A10 41A55 PDFBibTeX XMLCite \textit{M. C. De Bonis} and \textit{D. Occorsio}, Appl. Math. Comput. 313, 367--383 (2017; Zbl 1426.65033) Full Text: DOI
Borrego-Morell, J.; Rafaeli, F. R. An asymptotic expansion for a class of biorthogonal polynomials with respect to a measure on the unit circle. (English) Zbl 1426.42021 Appl. Math. Comput. 313, 52-73 (2017). MSC: 42C05 41A60 PDFBibTeX XMLCite \textit{J. Borrego-Morell} and \textit{F. R. Rafaeli}, Appl. Math. Comput. 313, 52--73 (2017; Zbl 1426.42021) Full Text: DOI
Bracciali, Cleonice F.; Pérez, Teresa E. Bivariate orthogonal polynomials, 2D Toda lattices and Lax-type pairs. (English) Zbl 1411.42007 Appl. Math. Comput. 309, 142-155 (2017). MSC: 42C05 33C50 35Q53 PDFBibTeX XMLCite \textit{C. F. Bracciali} and \textit{T. E. Pérez}, Appl. Math. Comput. 309, 142--155 (2017; Zbl 1411.42007) Full Text: DOI Link
Delgado, Jorge; Peña, J. M. Accurate computations with Lupaş matrices. (English) Zbl 1411.65032 Appl. Math. Comput. 303, 171-177 (2017). MSC: 65D17 15A09 33D45 68U07 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Appl. Math. Comput. 303, 171--177 (2017; Zbl 1411.65032) Full Text: DOI Link
Castillo, Kenier; Marcellán, Francisco; Rivero, Jorge On perturbed orthogonal polynomials on the real line and the unit circle via Szegő’s transformation. (English) Zbl 1411.33007 Appl. Math. Comput. 302, 97-110 (2017). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Appl. Math. Comput. 302, 97--110 (2017; Zbl 1411.33007) Full Text: DOI arXiv
Campos, Rafael G.; Marcellán, Francisco Quadratures and integral transforms arising from generating functions. (English) Zbl 1411.65038 Appl. Math. Comput. 297, 8-18 (2017). MSC: 65D30 33C45 44A05 PDFBibTeX XMLCite \textit{R. G. Campos} and \textit{F. Marcellán}, Appl. Math. Comput. 297, 8--18 (2017; Zbl 1411.65038) Full Text: DOI
Behroozifar, M.; Sazmand, A. An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation. (English) Zbl 1411.35270 Appl. Math. Comput. 296, 1-17 (2017). MSC: 35R11 33C45 35K57 65M70 92C20 PDFBibTeX XMLCite \textit{M. Behroozifar} and \textit{A. Sazmand}, Appl. Math. Comput. 296, 1--17 (2017; Zbl 1411.35270) Full Text: DOI
Arceo, Alejandro; Huertas, Edmundo J.; Marcellán, Francisco On polynomials associated with an Uvarov modification of a quartic potential Freud-like weight. (English) Zbl 1410.33024 Appl. Math. Comput. 281, 102-120 (2016). MSC: 33C45 33C47 40A05 PDFBibTeX XMLCite \textit{A. Arceo} et al., Appl. Math. Comput. 281, 102--120 (2016; Zbl 1410.33024) Full Text: DOI arXiv Link
Bracciali, Cleonice F.; Silva, Jairo S.; Sri Ranga, A. Explicit formulas for OPUC and POPUC associated with measures which are simple modifications of the Lebesgue measure. (English) Zbl 1410.42024 Appl. Math. Comput. 271, 820-831 (2015). MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., Appl. Math. Comput. 271, 820--831 (2015; Zbl 1410.42024) Full Text: DOI Link
Delgado, Jorge; Peña, J. M. Accurate evaluation of Bézier curves and surfaces and the Bernstein-Fourier algorithm. (English) Zbl 1410.65047 Appl. Math. Comput. 271, 113-122 (2015). MSC: 65D17 33D45 PDFBibTeX XMLCite \textit{J. Delgado} and \textit{J. M. Peña}, Appl. Math. Comput. 271, 113--122 (2015; Zbl 1410.65047) Full Text: DOI Link
Bahşı, M. Mustafa; Çevik, Mehmet; Sezer, Mehmet Orthoexponential polynomial solutions of delay pantograph differential equations with residual error estimation. (English) Zbl 1410.65279 Appl. Math. Comput. 271, 11-21 (2015). MSC: 65L60 34K07 34K28 PDFBibTeX XMLCite \textit{M. M. Bahşı} et al., Appl. Math. Comput. 271, 11--21 (2015; Zbl 1410.65279) Full Text: DOI
Sucu, Sezgin; Varma, Serhan Generalization of Jakimovski-Leviatan type Szasz operators. (English) Zbl 1410.41042 Appl. Math. Comput. 270, 977-983 (2015). MSC: 41A36 33C45 41A35 42C05 PDFBibTeX XMLCite \textit{S. Sucu} and \textit{S. Varma}, Appl. Math. Comput. 270, 977--983 (2015; Zbl 1410.41042) Full Text: DOI
Natalini, Pierpaolo; Ricci, Paolo Emilio Bell polynomials and modified Bessel functions of half-integral order. (English) Zbl 1410.11020 Appl. Math. Comput. 268, 270-274 (2015). MSC: 11B73 33C10 33C45 PDFBibTeX XMLCite \textit{P. Natalini} and \textit{P. E. Ricci}, Appl. Math. Comput. 268, 270--274 (2015; Zbl 1410.11020) Full Text: DOI
Agarwal, Praveen; Chand, Mehar; Karimov, Erkinjon Tulkinovich Certain image formulas of generalized hypergeometric functions. (English) Zbl 1410.33003 Appl. Math. Comput. 266, 763-772 (2015). MSC: 33B15 26A33 33C60 33C45 33C15 33C20 33C99 44A10 PDFBibTeX XMLCite \textit{P. Agarwal} et al., Appl. Math. Comput. 266, 763--772 (2015; Zbl 1410.33003) Full Text: DOI
Dattoli, Giuseppe; Di Palma, Emanuele; Sabia, Elio; Licciardi, Silvia Products of Bessel functions and associated polynomials. (English) Zbl 1410.33018 Appl. Math. Comput. 266, 507-514 (2015); corrigendum ibid. 362, Article ID 124516, 2 p. (2019). MSC: 33C10 33C45 PDFBibTeX XMLCite \textit{G. Dattoli} et al., Appl. Math. Comput. 266, 507--514 (2015; Zbl 1410.33018) Full Text: DOI arXiv
Ait-Haddou, Rachid; Goldman, Ron Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials. (English) Zbl 1410.65043 Appl. Math. Comput. 266, 267-276 (2015). MSC: 65D17 33D45 PDFBibTeX XMLCite \textit{R. Ait-Haddou} and \textit{R. Goldman}, Appl. Math. Comput. 266, 267--276 (2015; Zbl 1410.65043) Full Text: DOI
Castillo, Kenier Monotonicity of zeros for a class of polynomials including hypergeometric polynomials. (English) Zbl 1410.33015 Appl. Math. Comput. 266, 183-193 (2015). MSC: 33C05 33C45 42C05 PDFBibTeX XMLCite \textit{K. Castillo}, Appl. Math. Comput. 266, 183--193 (2015; Zbl 1410.33015) Full Text: DOI
Abbasbandy, Saeid; Kazem, Saeed; Alhuthali, Mohammed S.; Alsulami, Hamed H. Application of the operational matrix of fractional-order Legendre functions for solving the time-fractional convection-diffusion equation. (English) Zbl 1410.65388 Appl. Math. Comput. 266, 31-40 (2015). MSC: 65M70 33C47 35R11 PDFBibTeX XMLCite \textit{S. Abbasbandy} et al., Appl. Math. Comput. 266, 31--40 (2015; Zbl 1410.65388) Full Text: DOI
Hsiao, Chun-Hui A Haar wavelets method of solving differential equations characterizing the dynamics of a current collection system for an electric locomotive. (English) Zbl 1410.65516 Appl. Math. Comput. 265, 928-935 (2015). MSC: 65T60 65L60 42C40 42C10 PDFBibTeX XMLCite \textit{C.-H. Hsiao}, Appl. Math. Comput. 265, 928--935 (2015; Zbl 1410.65516) Full Text: DOI
Bayad, Abdelmejid; Navas, Luis Algebraic properties and Fourier expansions of two-dimensional Apostol-Bernoulli and Apostol-Euler polynomials. (English) Zbl 1410.33025 Appl. Math. Comput. 265, 883-892 (2015). MSC: 33C45 11B68 33C47 PDFBibTeX XMLCite \textit{A. Bayad} and \textit{L. Navas}, Appl. Math. Comput. 265, 883--892 (2015; Zbl 1410.33025) Full Text: DOI
Luo, Xue; Yau, Shing-Tung; Yau, Stephen S.-T. Time-dependent Hermite-Galerkin spectral method and its applications. (English) Zbl 1410.65398 Appl. Math. Comput. 264, 378-391 (2015). MSC: 65M70 33C45 PDFBibTeX XMLCite \textit{X. Luo} et al., Appl. Math. Comput. 264, 378--391 (2015; Zbl 1410.65398) Full Text: DOI arXiv
Aprahamian, Hrayer; Maddah, Bacel Pricing Asian options via compound gamma and orthogonal polynomials. (English) Zbl 1410.91477 Appl. Math. Comput. 264, 21-43 (2015). MSC: 91G60 91G20 PDFBibTeX XMLCite \textit{H. Aprahamian} and \textit{B. Maddah}, Appl. Math. Comput. 264, 21--43 (2015; Zbl 1410.91477) Full Text: DOI
Peña, A.; Rezola, M. L. Connection formulas for general discrete Sobolev polynomials: Mehler-Heine asymptotics. (English) Zbl 1410.42026 Appl. Math. Comput. 261, 216-230 (2015). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Peña} and \textit{M. L. Rezola}, Appl. Math. Comput. 261, 216--230 (2015; Zbl 1410.42026) Full Text: DOI arXiv
Gaboury, Sebastien; Tremblay, Richard Generalized multiple integral representations for a large family of polynomials with applications. (English) Zbl 1410.33029 Appl. Math. Comput. 261, 39-47 (2015). MSC: 33C45 33C65 PDFBibTeX XMLCite \textit{S. Gaboury} and \textit{R. Tremblay}, Appl. Math. Comput. 261, 39--47 (2015; Zbl 1410.33029) Full Text: DOI
Keleshteri, Marzieh Eini; Mahmudov, Nazim I. A study on \(q\)-Appell polynomials from determinantal point of view. (English) Zbl 1410.33028 Appl. Math. Comput. 260, 351-369 (2015). MSC: 11B65 33C45 05A30 PDFBibTeX XMLCite \textit{M. E. Keleshteri} and \textit{N. I. Mahmudov}, Appl. Math. Comput. 260, 351--369 (2015; Zbl 1410.33028) Full Text: DOI arXiv
Djordjević, Gospava B.; Djordjević, Snežana S. Convolutions of the generalized Morgan-Voyce polynomials. (English) Zbl 1390.11032 Appl. Math. Comput. 259, 106-115 (2015). MSC: 11B37 11B39 33C45 11B83 33C47 PDFBibTeX XMLCite \textit{G. B. Djordjević} and \textit{S. S. Djordjević}, Appl. Math. Comput. 259, 106--115 (2015; Zbl 1390.11032) Full Text: DOI
Aktaş, Rabia On parameter derivatives of a family of polynomials in two variables. (English) Zbl 1338.33023 Appl. Math. Comput. 256, 769-777 (2015). MSC: 33C50 PDFBibTeX XMLCite \textit{R. Aktaş}, Appl. Math. Comput. 256, 769--777 (2015; Zbl 1338.33023) Full Text: DOI
Garza, Lino G.; Garza, Luis E.; Marcellán, Francisco; Pinzón-Cortés, Natalia C. A matrix approach for the semiclassical and coherent orthogonal polynomials. (English) Zbl 1338.42033 Appl. Math. Comput. 256, 459-471 (2015). MSC: 42C05 PDFBibTeX XMLCite \textit{L. G. Garza} et al., Appl. Math. Comput. 256, 459--471 (2015; Zbl 1338.42033) Full Text: DOI Link
Szabłowski, Paweł J. A few remarks on orthogonal polynomials. (English) Zbl 1338.42034 Appl. Math. Comput. 252, 215-228 (2015). MSC: 42C05 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, Appl. Math. Comput. 252, 215--228 (2015; Zbl 1338.42034) Full Text: DOI arXiv
Khan, Subuhi; Riyasat, Mumtaz Determinantal approach to certain mixed special polynomials related to Gould-Hopper polynomials. (English) Zbl 1328.33002 Appl. Math. Comput. 251, 599-614 (2015). MSC: 33C45 05A15 PDFBibTeX XMLCite \textit{S. Khan} and \textit{M. Riyasat}, Appl. Math. Comput. 251, 599--614 (2015; Zbl 1328.33002) Full Text: DOI
Marcellán, Francisco; Pinzón-Cortés, Natalia Camila (\(M,N\))-coherent pairs of linear functionals and Jacobi matrices. (English) Zbl 1410.42025 Appl. Math. Comput. 232, 76-83 (2014). MSC: 42C05 33C45 33C47 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{N. C. Pinzón-Cortés}, Appl. Math. Comput. 232, 76--83 (2014; Zbl 1410.42025) Full Text: DOI Link
Saad, Nasser; Hall, Richard L.; Trenton, Victoria A. Polynomial solutions for a class of second-order linear differential equations. (English) Zbl 1354.34009 Appl. Math. Comput. 226, 615-634 (2014). MSC: 34A05 34A30 PDFBibTeX XMLCite \textit{N. Saad} et al., Appl. Math. Comput. 226, 615--634 (2014; Zbl 1354.34009) Full Text: DOI arXiv
Hetmaniok, Edyta; Lorenc, Piotr; Pleszczyński, Mariusz; Wituła, Roman Iterated integrals of polynomials. (English) Zbl 1338.26007 Appl. Math. Comput. 249, 389-398 (2014). MSC: 26C05 30C10 33C45 PDFBibTeX XMLCite \textit{E. Hetmaniok} et al., Appl. Math. Comput. 249, 389--398 (2014; Zbl 1338.26007) Full Text: DOI
Prajapati, Jyotindra C.; Ajudia, Naresh K.; Agarwal, Praveen Some results due to Konhauser polynomials of first kind and Laguerre polynomials. (English) Zbl 1338.33021 Appl. Math. Comput. 247, 639-650 (2014). MSC: 33C45 33E12 44A10 PDFBibTeX XMLCite \textit{J. C. Prajapati} et al., Appl. Math. Comput. 247, 639--650 (2014; Zbl 1338.33021) Full Text: DOI
Aktaş, Rabia A note on parameter derivatives of the Jacobi polynomials on the triangle. (English) Zbl 1338.33019 Appl. Math. Comput. 247, 368-372 (2014). MSC: 33C45 PDFBibTeX XMLCite \textit{R. Aktaş}, Appl. Math. Comput. 247, 368--372 (2014; Zbl 1338.33019) Full Text: DOI
Finta, Zoltán Generalized Voronovskaja theorem for \(q\)-Bernstein polynomials. (English) Zbl 1338.33027 Appl. Math. Comput. 246, 619-627 (2014). MSC: 33D45 PDFBibTeX XMLCite \textit{Z. Finta}, Appl. Math. Comput. 246, 619--627 (2014; Zbl 1338.33027) Full Text: DOI
Rapaić, Milan R.; Šekara, Tomislav B.; Govedarica, Vidan A novel class of fractionally orthogonal quasi-polynomials and new fractional quadrature formulas. (English) Zbl 1335.41006 Appl. Math. Comput. 245, 206-219 (2014). MSC: 41A55 65D30 33C45 26A33 PDFBibTeX XMLCite \textit{M. R. Rapaić} et al., Appl. Math. Comput. 245, 206--219 (2014; Zbl 1335.41006) Full Text: DOI
Marcellán, F.; Sri Ranga, A. Sieved para-orthogonal polynomials on the unit circle. (English) Zbl 1335.33004 Appl. Math. Comput. 244, 335-343 (2014). MSC: 33C45 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{A. Sri Ranga}, Appl. Math. Comput. 244, 335--343 (2014; Zbl 1335.33004) Full Text: DOI Link
Bayad, Abdelmejid; Simsek, Yilmaz; Srivastava, H. M. Some array type polynomials associated with special numbers and polynomials. (English) Zbl 1335.33003 Appl. Math. Comput. 244, 149-157 (2014). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Bayad} et al., Appl. Math. Comput. 244, 149--157 (2014; Zbl 1335.33003) Full Text: DOI
Stanić, Marija P. Multiple orthogonal polynomials on the semicircle and applications. (English) Zbl 1335.42032 Appl. Math. Comput. 243, 269-282 (2014). MSC: 42C05 33C45 65D30 PDFBibTeX XMLCite \textit{M. P. Stanić}, Appl. Math. Comput. 243, 269--282 (2014; Zbl 1335.42032) Full Text: DOI
Gürbüz, Burcu; Sezer, Mehmet Laguerre polynomial approach for solving Lane-Emden type functional differential equations. (English) Zbl 1337.65105 Appl. Math. Comput. 242, 255-264 (2014). MSC: 65L60 34K07 33C45 PDFBibTeX XMLCite \textit{B. Gürbüz} and \textit{M. Sezer}, Appl. Math. Comput. 242, 255--264 (2014; Zbl 1337.65105) Full Text: DOI
Babusci, D.; Dattoli, G.; Górska, K.; Penson, K. A. Repeated derivatives of composite functions and generalizations of the Leibniz rule. (English) Zbl 1334.26006 Appl. Math. Comput. 241, 193-199 (2014). MSC: 26A24 33C45 PDFBibTeX XMLCite \textit{D. Babusci} et al., Appl. Math. Comput. 241, 193--199 (2014; Zbl 1334.26006) Full Text: DOI arXiv
Ali Al-Gonah, Ahmed Generating functions involving Hermite-Laguerre polynomials using operational methods. (English) Zbl 1334.33023 Appl. Math. Comput. 239, 38-46 (2014). MSC: 33C45 PDFBibTeX XMLCite \textit{A. Ali Al-Gonah}, Appl. Math. Comput. 239, 38--46 (2014; Zbl 1334.33023) Full Text: DOI
Kujan, Petr Solving composite sum of powers via Padé approximation and orthogonal polynomials with application to optimal PWM problem. (English) Zbl 1334.65093 Appl. Math. Comput. 236, 593-605 (2014). MSC: 65H10 41A21 PDFBibTeX XMLCite \textit{P. Kujan}, Appl. Math. Comput. 236, 593--605 (2014; Zbl 1334.65093) Full Text: DOI
Huertas, Edmundo J.; Marcellán, Francisco; Pérez-Valero, M. Francisca; Quintana, Yamilet Asymptotics for Laguerre-Sobolev type orthogonal polynomials modified within their oscillatory regime. (English) Zbl 1334.33025 Appl. Math. Comput. 236, 260-272 (2014). MSC: 33C45 PDFBibTeX XMLCite \textit{E. J. Huertas} et al., Appl. Math. Comput. 236, 260--272 (2014; Zbl 1334.33025) Full Text: DOI arXiv
da Fonseca, Carlos M. Unifying some Pell and Fibonacci identities. (English) Zbl 1334.11009 Appl. Math. Comput. 236, 41-42 (2014). MSC: 11B39 33C45 PDFBibTeX XMLCite \textit{C. M. da Fonseca}, Appl. Math. Comput. 236, 41--42 (2014; Zbl 1334.11009) Full Text: DOI
Branquinho, A.; Rebocho, M. N. Deformed Laguerre-Hahn orthogonal polynomials on the real line. (English) Zbl 1334.42055 Appl. Math. Comput. 233, 359-368 (2014). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Branquinho} and \textit{M. N. Rebocho}, Appl. Math. Comput. 233, 359--368 (2014; Zbl 1334.42055) Full Text: DOI
Kim, Dae San; Kim, Taekyun Some identities of symmetry for the generalized \(q\)-Euler polynomials. (English) Zbl 1334.11010 Appl. Math. Comput. 235, 408-411 (2014). MSC: 11B65 33D45 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Appl. Math. Comput. 235, 408--411 (2014; Zbl 1334.11010) Full Text: DOI
Ozden, Hacer; Simsek, Yilmaz Modification and unification of the Apostol-type numbers and polynomials and their applications. (English) Zbl 1334.11015 Appl. Math. Comput. 235, 338-351 (2014). MSC: 11B73 33C45 PDFBibTeX XMLCite \textit{H. Ozden} and \textit{Y. Simsek}, Appl. Math. Comput. 235, 338--351 (2014; Zbl 1334.11015) Full Text: DOI
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
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
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
Branquinho, A.; Paiva, A.; Rebocho, M. N. Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line. (English) Zbl 1293.33010 Appl. Math. Comput. 219, No. 17, 9118-9131 (2013). MSC: 33C45 34A05 15A24 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Appl. Math. Comput. 219, No. 17, 9118--9131 (2013; Zbl 1293.33010) Full Text: DOI
Lewanowicz, Stanisław; Woźny, Paweł; Nowak, Rafał Structure relations for the bivariate big \(q\)-Jacobi polynomials. (English) Zbl 1306.33022 Appl. Math. Comput. 219, No. 16, 8790-8802 (2013). Reviewer: Małgorzata Michalska (Lublin) MSC: 33C50 33C45 33D50 PDFBibTeX XMLCite \textit{S. Lewanowicz} et al., Appl. Math. Comput. 219, No. 16, 8790--8802 (2013; Zbl 1306.33022) Full Text: DOI
Cao, Jian; Srivastava, H. M. Some \(q\)-generating functions of the Carlitz and Srivastava-Agarwal types associated with the generalized Hahn polynomials and the generalized Rogers-Szegö polynomials. (English) Zbl 1297.33014 Appl. Math. Comput. 219, No. 15, 8398-8406 (2013). MSC: 33D45 PDFBibTeX XMLCite \textit{J. Cao} and \textit{H. M. Srivastava}, Appl. Math. Comput. 219, No. 15, 8398--8406 (2013; Zbl 1297.33014) Full Text: DOI
Morell, Jorge Alberto Borrego On orthogonal polynomials with respect to a class of differential operators. (English) Zbl 1298.33017 Appl. Math. Comput. 219, No. 14, 7853-7871 (2013). Reviewer: Peter Massopust (München) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{J. A. B. Morell}, Appl. Math. Comput. 219, No. 14, 7853--7871 (2013; Zbl 1298.33017) Full Text: DOI
Szabłowski, Paweł J. On affinity relating two positive measures and the connection coefficients between polynomials orthogonalized by these measures. (English) Zbl 1290.33012 Appl. Math. Comput. 219, No. 12, 6768-6776 (2013). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{P. J. Szabłowski}, Appl. Math. Comput. 219, No. 12, 6768--6776 (2013; Zbl 1290.33012) Full Text: DOI arXiv