Some new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials

The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $\alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the classic polynomials. In more detail, we deriv...

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Published inKarpats'kì matematinì publìkacìï Vol. 14; no. 2; pp. 354 - 363
Main Authors Ramírez, W., Cesarano, C.
Format Journal Article
LanguageEnglish
Published Vasyl Stefanyk Precarpathian National University 30.12.2022
Subjects
apostol-type polynomials
degenerated apostol-type polynomials
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ISSN2075-9827
2313-0210
2313-0210
DOI10.15330/cmp.14.2.354-363

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Summary:The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $\alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the classic polynomials. In more detail, we derive their explicit expressions, recurrence relations and some identities involving those polynomials and numbers. Most of the results are proved by using generating function methods.
ISSN:2075-9827
2313-0210
2313-0210
DOI:10.15330/cmp.14.2.354-363