Explicit relations for the modified degenerate Apostol-type polynomials | Zendy

Burak Kurt | Zendy

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Explicit relations for the modified degenerate Apostol-type polynomials

Author(s) -

Burak Kurt

Publication year - 2018

Publication title -

balıkesir üniversitesi fen bilimleri enstitüsü dergisi

Language(s) - English

Resource type - Journals

eISSN - 2536-5142

pISSN - 1301-7985

DOI - 10.25092/baunfbed.468674

Subject(s) - mathematics , wilson polynomials , discrete orthogonal polynomials , degenerate energy levels , hahn polynomials , difference polynomials , classical orthogonal polynomials , orthogonal polynomials , stirling number , pure mathematics , bernoulli polynomials , koornwinder polynomials , gegenbauer polynomials , physics , quantum mechanics

Recently, the degenerate Bernoulli numbers and polynomials and the degenerate Euler numbers and polynomials have been studied by several authors. In this paper, we consider the modified Apostol-Bernoulli polynomials and the modified Apostol-Euler polynomials. We give explicit relation for the modified degenerate Bernoulli polynomials and the modified degenerate Euler polynomials. Also, we prove some identities between the modified Apostol-Bernoulli polynomials and the degenerate Stirling numbers of two kinds.

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