Results 51 to 60 of about 214 (120)

On the Poisson-Charlier Polynomials [PDF]

, 2015
In this paper the Poisson-Charlier polynomials are introduced. Some of their recurrence relations are presented. Various families of bilinear and bilateral generating functions for these polynomials are derived.
Özmen, Nejla, Erkuş-Duman, Esra
core  

A new perspective on generalized Laguerre polynomials

Demonstratio Mathematica
This article introduces two-variable polynomials constructed with generalized Laguerre polynomials. The study focuses on deriving generating function relationships, establishing closed-form summation formulas, and proving a symmetry identity for the ...
Erkuş-Duman Esra
doaj   +1 more source

Modification of linear functionals with Dirac masses: Class of the modified linear functional [PDF]

, 2004
20 pages, no figures.-- MSC2000 codes: Primary 33C45, Secondary 46F10, 47A57.MR#: MR2144880 (2006j:33009)In this paper we analyze modifications of some classical linear functionals.
Marcellán, Francisco, Arvesú Carballo, Jorge, Marcellán Español, Francisco José, Garrido, Ángeles, Arvesú, Jorge   +4 more
core   +3 more sources

Fractional Integration and Solution of Generalized kinetic equation considering Generalized Lommel-Wright function

, 2021
.: In this article, we initially built the generalized form of theLommel-Wright function and then evaluated the Saigo hypergeometricfractional integrals of the newly built special function.
Gauhar Rahman; Department of Mathematics, Hazara University, Mansehra, Saima Naheed; Department of Mathematics, University of Sargodha, Sargodha, Shahid Mubeen; Department of Mathematics, Hazara University, Mansehra   +2 more
core  

Meta algebras and biorthogonal rational functions: The Hahn case

Forum of Mathematics, Sigma
The finite families of biorthogonal rational functions and orthogonal polynomials of Hahn type are interpreted algebraically in a unified way by considering the three-generated meta Hahn algebra and its finite-dimensional representations.
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov   +2 more
doaj   +1 more source

Classical Hermite and Laguerre Polynomials and the zero-distribution of Riemann's ζ-function [PDF]

, 2013
[Rusev Peter; Russev Peter; Russev P.; Русев Петр; Русев Петър]Necessary and sufficient conditions for absence of zeros of the function ζ(s), s=σ+it, in the half-plane σ>θ, 1/2 ...
Rusev, Peter
core  

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad, Zayed Mohra, Nahid Tabinda   +2 more
doaj   +1 more source

Sobolev orthogonal polynomials in the complex plane [PDF]

, 2001
12 pages, no figures.-- MSC2000 codes: 42C05, 33C45.MR#: MR1808575 (2001j:30006)Zbl#: Zbl 0973.42015Sobolev orthogonal polynomials with respect to measures supported on compact subsets of the complex plane are considered. For a wide class of such Sobolev
López Lagomasino, Guillermo, Pijeira, Héctor, Pérez Izquierdo, Ignacio, Pijeira Cabrera, Héctor Esteban   +3 more
core   +1 more source

Orthogonalizing q-Bernoulli polynomials

Demonstratio Mathematica
In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called OBn(x,q){{\rm{OB}}}_{n}(x,q) from the q-Bernoulli polynomials.
Kuş Semra, Tuglu Naim
doaj   +1 more source

On two-parameter telephone polynomials and their structural properties

Nuclear Physics B
In this paper, we investigate the structural and analytic properties of the two-parameter telephone polynomials. Starting from the exponential generating function and the recurrence relation, we derive an explicit formula, an operational representation ...
Carlos M. da Fonseca, Can Kızılateş, Yasin Ünsal   +2 more
doaj   +1 more source