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Generating functions of Pollaczek polynomials: a revisit
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TLDR
In this paper, a new proof of Wimp's formula for the associated Pollaczek polynomials Pnλz;a,b,c,d,e,f,c was presented.Abstract:
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 Pnλz;a,b,c. ...read more
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Closed-form expressions, generating function and Mehler-Heine type formula for the associated Meixner polynomials and some applications
TL;DR: In this article, a closed-form expression for the associated Meixner polynomials from which they derive closedform expressions for associated Charlier and Laguerre polynomial by a limit procedure is given.
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Higher Transcendental Functions
TL;DR: Higher Transcendental Functions Based on notes left by the late Prof. Harry Bateman, and compiled by the Staff of the Bateman Project as discussed by the authors, are presented in Table 1.
Book
NIST Handbook of Mathematical Functions
TL;DR: This handbook results from a 10-year project conducted by the National Institute of Standards and Technology with an international group of expert authors and validators and is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun.
Book
Hypergeometric Orthogonal Polynomials and Their q-Analogues
TL;DR: In this paper, Orthogonal Polynomial Solutions of Differential Equations of Real Difference Equations (DDEs) were used to solve Eigenvalue Problems. But they were not used in the context of orthogonal polynomials.