A Further Investigation of Generating Functions Related to Pairs of Inverse Functions With Applications to Generalized Degenerate Bernoulli Polynomials

Gaboury, Sébastien; Tremblay, Richard E.

doi:10.4134/bkms.2014.51.3.831

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Generating Functions Of Orthogonal Polynomials1

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2022

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“…Gawronski and Shawyer [49] used (31) to calculate the asymptotic distribution of the zeros of the Jacobi polynomials P (α+an,β+bn) n (x) as n → ∞. Many other developments, which have emerged essentially from the Srivastava-Singhal generating functions ( 27), ( 29) and (31), include those presented in (for example) [42,50,51] and also in [52][53][54].…”

Section: Generating Functions Of Orthogonal Polynomialsmentioning

confidence: 99%

Some Families of Generating Functions Associated with Orthogonal Polynomials and Other Higher Transcendental Functions

Srivástava

2022

Mathematics

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In this invited survey-cum-expository review article, we present a brief and comprehensive account of some general families of linear and bilinear generating functions which are associated with orthogonal polynomials and such other higher transcendental functions as (for example) hypergeometric functions and hypergeometric polynomials in one, two and more variables. Many of the results as well as the methods and techniques used for their derivations, which are presented here, are intended to provide incentive and motivation for further research on the subject investigated in this article.

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Section: Generating Functions Of Orthogonal Polynomialsmentioning

confidence: 99%

Some Families of Generating Functions Associated with Orthogonal Polynomials and Other Higher Transcendental Functions

Srivástava

2022

Mathematics

View full text Add to dashboard Cite

show abstract

A Further Investigation of Generating Functions Related to Pairs of Inverse Functions With Applications to Generalized Degenerate Bernoulli Polynomials

Abstract: Abstract. In this paper, we obtain new generating functions involving families of pairs of inverse functions by using a generalization of the Srivastava

Cited by 1 publication

References 28 publications

Some Families of Generating Functions Associated with Orthogonal Polynomials and Other Higher Transcendental Functions

Some Families of Generating Functions Associated with Orthogonal Polynomials and Other Higher Transcendental Functions

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