Unification of Two-Variable Family of Apostol-Type Polynomials with Applications

Beih S. El-Desouky, Rabab S. Gomaa, Alia M. Magar and Barbara Martinucci

Journal of Mathematics, 2022, vol. 2022, 1-12

Abstract: In this paper, the two-variable unified family of generalized Apostol-type polynomials is introduced, and some implicit forms and general symmetry identities are derived. Also, we obtain new degenerate Apostol-type numbers and polynomials constructed from the new 2-variable unified family. We derive explicit formulae of polynomials and identities that include some special numbers and polynomials. In addition, a probabilistic representation of the new family and some statistical properties are obtained.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4514725

DOI: 10.1155/2022/4514725

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