Results 71 to 80 of about 1,201 (100)

Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases

Acta Arithmetica, 2021
Summary: Pál Turán in the 1950s proposed to use the expansion of the Riemann xi function in the Hermite polynomials as a tool to gain insight into the location of the zeros of the Riemann zeta function. In this paper we follow up and expand on Turán's ideas in several ways by considering infinite series expansions for the Riemann xi function \(\Xi (t)\)
D. Romik
openaire   +3 more sources

Integral representations for the Dirichlet L-functions and their expansions in Meixner–Pollaczek polynomials and rising factorials†

Integral Transforms and Special Functions, 2007
In this article we provide integral representations for the Dirichlet beta and Riemann zeta functions, which are obtained by combining Mellin transform with the fractional Fourier transform. As an application of these integral formulas we derive tractable expansions of these L-functions in the series of Meixner–Pollaczek polynomials and rising ...
Alexey Kuznetsov
openaire   +2 more sources

A new extension of Meixner-Pollaczek polynomials to $d$-orthogonality

Advanced Studies: Euro-Tbilisi Mathematical Journal
Benamira, Wissem, Nasri, Ahmed
openaire   +2 more sources

A New Subclass of Bi-Univalent Functions Involving Bell and Meixner-Pollaczek Polynomials

European Journal of Pure and Applied Mathematics
In this work, we present a novel subclass of bi-univalent functions defined by MeixnerPollaczek and Bell polynomials. Deriving coefficient estimates is the primary focus, especially for the second and third Taylor-Maclaurin coefficients; a2 and a3 ...
Omar Alnajar, A. Amourah, A. Alsoboh, Omar Khabour, Mohammed Mattar Al Hatmi, Tala Sasa   +5 more
semanticscholar   +1 more source

Generating functions of Pollaczek polynomials: a revisit

Integral transforms and special functions, 2019
This paper is mainly devoted to generating functions of Pollaczek and other related polynomials. We first present a new proof of Wimp's formula for the associated Pollaczek polynomials .
M. Luo, R. K. Raina
semanticscholar   +1 more source

Some Properties Of Hypergeometric Meixner-Pollaczek Polynomials

2017
Orthogonal polynomials appear in many areas of mathematics and have been the subject of interest of many mathematicians.The present study deals with some new properties for the Meixner-Pollaczek polynomials $P_{n}^{\left( \lambda\right) }\left( x;\phi \right) $.
ÖZMEN, Nejla, GÖKSU, Hasan
openaire   +1 more source

Divided-difference equation, inversion, connection, multiplication and linearization formulae of the continuous Hahn and the Meixner–Pollaczek polynomials

, 2018
D. D. Tcheutia, P. Njionou Sadjang, W. Koepf, M. Foupouagnigni   +3 more
semanticscholar   +1 more source

Invariant differential operators on the Heisenberg group and Meixner–Pollaczek polynomials

Advances in Pure and Applied Mathematics, 2013
Jacques Faraut, Masato Wakayama
openaire   +1 more source

Barnes-Type Integral and the Meixner–Pollaczek Polynomials

, 1999
K. Mimachi
semanticscholar   +1 more source

Meixner-Pollaczek polynomials

, 2016
Walter Gautschi
semanticscholar   +1 more source