Binomial polynomials mimicking Riemann's zeta function

DOI10.1080/10652469.2020.1755672zbMath1498.11064arXiv1703.09251OpenAlexW3019036198MaRDI QIDQ4987032

Mark W. Coffey, Matthew C. Lettington

Publication date: 28 April 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09251

zbMATH Keywords

hypergeometric functionsMellin transformscritical polynomialsbinomials coefficientsGould combinatorial summations

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Integral transforms of special functions (44A20) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

On polynomial transformations preserving purely imaginary zeros*

Cites Work

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• A Pascal-Type Triangle Characterizing Twin Primes
• Special functions and the Mellin transforms of Laguerre and Hermite functions

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