The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli,Apostol-Euler and Apostol-Genocchi polynomials of orderαand levelmin the variable x. Here thedegenerate polynomials are a natural extension of the classic polynomials. In more detail, we derivetheir explicit expressions, recurrence relations and someidentities involving those polynomials andnumbers. Most of the results are proved by using generating function methods.
Some new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
Cesarano C
2022-01-01
Abstract
The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli,Apostol-Euler and Apostol-Genocchi polynomials of orderαand levelmin the variable x. Here thedegenerate polynomials are a natural extension of the classic polynomials. In more detail, we derivetheir explicit expressions, recurrence relations and someidentities involving those polynomials andnumbers. Most of the results are proved by using generating function methods.File in questo prodotto:
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