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Turkish Journal of Mathematics

Abstract

According to the generalized Mellin derivative, we introduce a new family of polynomials called higher order generalized geometric polynomials and obtain some arithmetical properties of them. Then we investigate the relationship of these polynomials with degenerate Bernoulli, degenerate Euler, and Bernoulli polynomials. Finally, we evaluate several series and integrals in closed forms.

DOI

10.3906/mat-1705-95

Keywords

Generalized geometric polynomials, Bernoulli polynomials, Euler polynomials, Riemann zeta function

First Page

887

Last Page

903

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