Found 216 Documents (Results 1–100)
Fourier series for the multidimensional-matrix functions of the vector variable. (English) Zbl 07839494
On a higher-order version of a formula due to Ramanujan. (English) Zbl 07816068
Reviewer: Francisco Pérez Acosta (La Laguna)
Two-dimensional \((p, q)\)-heat polynomials of Gould-Hopper type. (English) Zbl 1540.33012
Reviewer: Norbert Hounkonnou (Cotonou)
A note on sequence of functions associated with the generalized Jacobi polynomial. (English) Zbl 1534.33010
Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001
Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023).
MSC:
05-02
33-02
05A15
05A19
42C05
33C05
33C20
33D05
05A20
05C30
05E05
15B05
15B48
30B70
30E05
44A60
11B68
11A55
11B75
Fourier orthogonal series on a paraboloid. (English) Zbl 1522.42059
Reviewer: Peter Massopust (München)
Robust spectral treatment for time-fractional delay partial differential equations. (English) Zbl 1524.42054
Equiconvergence for perturbed Jacobi polynomial expansions. (English) Zbl 1519.42036
Reviewer: Xiaosheng Zhuang (Hong Kong)
Expansions over Legendre polynomials and infinite double series identities. (English) Zbl 1535.33003
Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation. (English) Zbl 1525.33006
Reviewer: Francisco Pérez Acosta (La Laguna)
Axisymmetric contact of two different power-law graded elastic bodies and an integral equation with two Weber-Schafheitlin kernels. (English) Zbl 1533.74058
The \(K\) extended Laguerre polynomials involving \(\left\{A^{(\alpha)}_{r, n, k}(x)\right\}{}_rf_r\), \(r > 2\). (English) Zbl 1528.33007
A comparative study of polynomial-type chaos expansions for indicator functions. (English) Zbl 1524.33045
On the generalized growth and approximation of entire solutions of certain elliptic partial differential equation. (English) Zbl 1518.35034
On the relation between Gegenbauer polynomials and the Ferrers function of the first kind. (English) Zbl 1513.33010
Reviewer: István Mező (Nanjing)
Approximation properties of the Vallée-Poussin means similar to the partial sums of Fourier series in Laguerre-Sobolev polynomials. (English. Russian original) Zbl 1490.42007
Sib. Math. J. 63, No. 3, 451-465 (2022); translation from Sib. Mat. Zh. 63, No. 3, 545-561 (2022).
Solutions of a Bessel-type differential equation using the tridiagonal representation approach. (English) Zbl 1527.34032
Analytical properties of Touchard-based hybrid polynomials via operational techniques. (English) Zbl 1467.44004
Transference of \(L_p\) bounds between symmetrized Jacobi expansions and Dunkl transform. (English) Zbl 1474.42044
Reviewer: Michael Perelmuter (Kyïv)
Approximation of Gaussians by spherical Gauss-Laguerre basis in the weighted Hilbert space. (English) Zbl 1450.42015
Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity. (English. Russian original) Zbl 1445.81021
Theor. Math. Phys. 202, No. 1, 17-29 (2020); translation from Teor. Mat. Fiz. 202, No. 1, 20-33 (2020); correction ibid. 205, No. 1, 1391 (2020).
Isotropic covariance matrix functions on compact two-point homogeneous spaces. (English) Zbl 1464.60051
Certain \(q\)-series identities and applications to lecture hall type partitions. (English) Zbl 1435.33019
Classical discrete symplectic ensembles on the linear and exponential lattice: skew orthogonal polynomials and correlation functions. (English) Zbl 1432.15036
Reviewer: Marcel G. de Bruin (Heemstede)
Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator. (English. Russian original) Zbl 1436.81041
Theor. Math. Phys. 200, No. 3, 1348-1359 (2019); translation from Teor. Mat. Fiz. 200, No. 3, 494-506 (2019).
Generating functions of Pollaczek polynomials: a revisit. (English) Zbl 1431.33013
Reviewer: Chrysoula G. Kokologiannaki (Patras)
Population dynamics between a prey and a predator using spectral collocation method. (English) Zbl 1422.65291
Certain integral transforms involving the product of Galue type Struve function and Jacobi polynomial. (English) Zbl 1414.33024
Erratum: “Series solutions of Heun-type equation in terms of orthogonal polynomials” [J. Math. Phys. 59, 113507 (2018)]. (English) Zbl 1414.34009
Extensions of the classical transformations of the hypergeometric function \({}_3F_2\). (English) Zbl 1409.33006
\(L^p\)-approximation and generalized growth of generalized biaxially symmetric potentials of hyper sphere. (English) Zbl 1463.30006
Certain hypergeometric generating relations using Gould’s identity and their generalizations. (English) Zbl 1415.33003
Algebraic generating functions for Gegenbauer polynomials. (English) Zbl 1411.33011
Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 425-444 (2018).
On derivatives of hypergeometric functions and classical polynomials with respect to parameters. (English) Zbl 1400.33013
Linear holomorphic partial differential equations and classical potential theory. (English) Zbl 1426.30002
Mathematical Surveys and Monographs 232. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3780-0/hbk; 978-1-4704-4766-3/ebook). x, 214 p. (2018).
Reviewer: Eleutherius Symeonidis (Bucureşti)
A study of unified fractional integral operators involving S-generalized Gauss’s hypergeometric function as its kernel. (English) Zbl 1351.45011
On the complex Hermite polynomials and partial differential equations. arXiv:1707.08708
Preprint, arXiv:1707.08708 [math.CV] (2017).
Large deflection of a circular plate under non-uniform load pertaining to a product of special functions. (English) Zbl 1488.34145
Some identities and orthogonality on Laguerre polynomial convolution. (Chinese. English summary) Zbl 1349.33010
Simple proofs of some Bernstein-Mordell type inequalities. (English) Zbl 1323.26022
Rassias, Themistocles M. (ed.) et al., Topics in mathematical analysis and applications. Cham: Springer (ISBN 978-3-319-06553-3/hbk; 978-3-319-06554-0/ebook). Springer Optimization and Its Applications 94, 1-15 (2014).
Some special series in ultraspherical polynomials and their approximation properties. (English. Russian original) Zbl 1312.33033
Izv. Math. 78, No. 5, 1036-1059 (2014); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 78, No. 5, 201-224 (2014).
Reviewer: Renato Alvarez-Nodarse (Sevilla)
A generating function of the squares of Legendre polynomials. (English) Zbl 1334.33022
Reviewer: Richard B. Paris (Dundee)
On the hypergeometric differential equation satisfied by \(_{2}F_{0} (\lambda, \mu; - ; *)\). (English) Zbl 1315.33012
Generating functions of Legendre polynomials: a tribute to Fred Brafman. (English) Zbl 1282.33015
Reviewer: Marcel G. de Bruin (Haarlem)
Limit ultraspherical series and their approximation properties. (English. Russian original) Zbl 1279.42029
Math. Notes 94, No. 2, 281-293 (2013); translation from Mat. Zametki 94, No. 2, 295-309 (2013).
MSC:
42C05
On some generating functions of generalized Bateman’s and Pasternak’s polynomials of two variables. (English) Zbl 1275.33019
Reviewer: Nicolae Cotfas (Bucureşti)
MSC:
33C45
Semigroups of operators for classical orthogonal polynomials and functional inequalities. (English) Zbl 1306.47054
Graczyk, Piotr (ed.) et al., Orthogonal families and semigroups in analysis and probability. Selected papers based on the presentations at the CIMPA workshop, Mérida, Venezuela, 2006. Paris: Société Mathématique de France (ISBN 978-2-85629-362-1/pbk). Séminaires et Congrès 25, 285-383 (2012).
Reviewer: Michael Perelmuter (Kyïv)
On formulas for \(\pi\) experimentally conjectured by Jauregui-Tsallis. (English) Zbl 1277.33006
Reviewer: Nele De Schepper (Gent)
Calderón-Zygmund operators related to Jacobi expansions. (English) Zbl 1260.42017
Reviewer: Krzysztof Stempak (Wrocław)
On error bounds for orthogonal polynomial expansions and Gauss-type quadrature. (English) Zbl 1263.65027
Reviewer: Ana-Maria Acu (Sibiu)
Eulerian polynomials and B-splines. (English) Zbl 1251.41015
Reviewer: Peter Massopust (München)
On meromorphic solutions of linear partial differential equations of second order. (English) Zbl 1308.35149
Sparse Legendre expansions via \(\ell_1\)-minimization. (English) Zbl 1239.65018
Reviewer: Manfred Tasche (Rostock)
Generating functions of Legendre polynomials: A tribute to Fred Brafman. (English) Zbl 1242.33018
Reviewer: Stamatis Koumandos (Nicosia)
A class of quaternary orthonormal U-system. (Chinese. English summary) Zbl 1488.42129
Error analysis of Jacobi derivative estimators for noisy signals. (English) Zbl 1227.65026
Reviewer: Manfred Tasche (Rostock)
Characterizations of orthogonal generalized Gegenbauer-Humbert polynomials and orthogonal Sheffer-type polynomials. (English) Zbl 1218.33017
Mixed series of Jacobi and Chebyshev polynomials and their discretization. (English. Russian original) Zbl 1263.41017
Math. Notes 88, No. 1, 112-139 (2010); translation from Mat. Zametki 88, No. 1, 116-147 (2010).
Reviewer: Allan Pinkus (Haifa)
MSC:
41A50
The basis property of the Legendre polynomials in the variable exponent Lebesgue space \(L^{p(x)}(-1,1)\). (English. Russian original) Zbl 1177.33023
Sb. Math. 200, No. 1, 133-156 (2009); translation from Mat. Sb. 200, No. 1, 137-160 (2009).
Numerical methods. Principles, analysis and algorithms. (English) Zbl 1196.65001
Oxford: Oxford University Press (ISBN 978-0-19-569375-1/pbk). xii, 812 p. (2009).
Reviewer: Georg Hebermehl (Berlin)
MSC:
65-01
65Fxx
65Lxx
65Mxx
65Nxx
65Yxx
65D05
65D07
65D30
65G50
65H04
65H05
65H10
92B20
97M50
00A06
65C05
65R20
Power series for inverse Jacobian elliptic functions. (English) Zbl 1195.33232
Reviewer: Thomas Ernst (Uppsala)
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