Results 81 to 90 of about 909 (183)

Integral representations for the product of certain polynomials of two variables

Ain Shams Engineering Journal, 2013
The main object of this paper is to investigate several integral representations for the product of two polynomials of two variables, e.g. Laguerre, Jacobi, Generalized Bessel, Generalized Rice, Krawtchouk, Meixner, Gottlieb and Poisson–Charlier ...
Mumtaz Ahmad Khan, Abdul Hakim Khan, Sayed Mohammad Abbas   +2 more
doaj   +1 more source

On Polar Jacobi Polynomials

Mathematics
In the present work, we investigate certain algebraic and differential properties of the orthogonal polynomials with respect to a discrete–continuous Sobolev-type inner product defined in terms of the Jacobi measure.
Roberto S. Costas-Santos
doaj   +1 more source

Classification of Exceptional Jacobi Polynomials

Studies in Applied Mathematics
ABSTRACT We provide a full classification scheme for exceptional Jacobi operators and polynomials. The classification contains six degeneracy classes according to whether or assume integer values. Exceptional Jacobi operators are in one‐to‐one correspondence with spectral diagrams, a combinatorial object that describes the quasi ...
Garcia-Ferrero, Maria Angeles, Gomez-Ullate, David, Milson, Robert   +2 more
openaire   +2 more sources

On the completely indeterminate case for block Jacobi matrices

Concrete Operators, 2017
We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
doaj   +1 more source

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials

Advances in Difference Equations, 2019
In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim, Dae San Kim, Lee-Chae Jang, D. V. Dolgy   +3 more
doaj   +1 more source

A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations

Advances in Mathematical Physics, 2014
The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.
A. H. Bhrawy, M. A. Alghamdi
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Multiple Wilson and Jacobi–Piñeiro polynomials

Journal of Approximation Theory, 2005
22 pages, 2 ...
Bernhard Beckermann, J. Coussement, Walter Van Assche   +2 more
openaire   +3 more sources

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

Mathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

Biorthogonal polynomials suggested by the Jacobi polynomials [PDF]

Pacific Journal of Mathematics, 1982
Madhekar, H. C., Thakare, N. K.
openaire   +3 more sources

Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

Comptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source