Results 41 to 50 of about 2,744 (114)

Some extensions of Bateman′s product formulas for the Jacobi polynomials

International Journal of Stochastic Analysis, Volume 8, Issue 4, Page 423-428, 1995., 1995
The authors derive generalizations of some remarkable product formulas of Harry Bateman (1882‐1946) for the classical Jacobi polynomials. They also show how the results considered here would lead to various families of linear, bilinear, and bilateral generating functions for the Jacobi and related polynomials.
Ming-Po Chen, H. M. Srivastava
wiley   +1 more source

Relationships between the permanents of a certain type of k-tridiagonal symmetric Toeplitz matrix and the Chebyshev polynomials

, 2017
In this study, the recursive relations between the permanents of a certain type of the k-tridiagonal symmetric Toeplitz matrix with complex entries and the Chebyshev polynomials of the second kind are presented.
A. Küçük, M. Düz
semanticscholar   +1 more source

Integral Representations of Functional Series with Members Containing Jacobi Polynomials [PDF]

, 2012
MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi ...
Jankov, Dragana, Pogany, Tibor K.
core  

Approximation by Phillips operators via q-Dunkl generalization based on a new parameter

Journal of King Saud University: Science, 2021
In the present article we study the approximation properties of Phillips operators by q-Dunkl generalization. We construct the operators in a new q-Dunkl form and obtain the approximation properties in weighted function space.
Abdullah Alotaibi, Md. Nasiruzzaman, M. Mursaleen   +2 more
doaj  

Hermite Series with Polar Singularities [PDF]

, 2012
MSC 2010: 33C45, 40G05Series in Hermite polynomials with poles on the boundaries of their regions of convergence are ...
Boychev, Georgi S.
core  

CUBATURE FORMULA FOR THE GENERALIZED CHEBYSHEV TYPE POLYNOMIALS

, 2017
We study cubature formulas to approximate double integrals of generalized Chebyshev-type polynomials of the second type, U (γ,M,N) n,r,d (U), over triangular domain.
Khaldoun M. AyyalSalman, Maalee N. Almheidat, Mohammad A. Alqudah   +2 more
semanticscholar   +1 more source

Equiconvergence and equisummability of Jacobi series [PDF]

, 2011
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi ...
Boychev, Georgi
core  

A generating function of the squares of Legendre polynomials

, 2012
We relate a one-parametric generating function for the squares of Legendre polynomials to an arithmetic hypergeometric series whose parametrisation by a level 7 modular function was recently given by Shaun Cooper. By using this modular parametrisation we
Zudilin, Wadim
core   +1 more source

On Laguerre-Sobolev matrix orthogonal polynomials

Open Mathematics
In this manuscript, we study some algebraic and differential properties of matrix orthogonal polynomials with respect to the Laguerre-Sobolev right sesquilinear form defined by ⟨p,q⟩S≔∫0∞p*(x)WLA(x)q(x)dx+M∫0∞(p′(x))*W(x)q′(x)dx,{\langle p,q\rangle }_ ...
Fuentes Edinson, Garza Luis E., Saiz Martha L.   +2 more
doaj   +1 more source

A Diagonalized Legendre Rational Spectral Method for Problems on the Whole Line

Journal of Mathematical Study, 2018
A diagonalized Legendre rational spectral method for solving second and fourth order differential equations are proposed. Some Fourier-like Sobolev orthogonal basis functions are constructed which lead to the diagonalization of discrete systems ...
Xu-hong Yu
semanticscholar   +1 more source