A New Class of Hermite-Apostol Type Frobenius-Euler Polynomials and Its Applications

The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite⁻Apostol-type Frobenius⁻Euler polynomials, and to characterize their properties via different generating function techniques. Several explicit relations involving Hurwitz&...

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Bibliographic Details
Main Authors: Serkan Araci, Mumtaz Riyasat, Shahid Ahmad Wani, Subuhi Khan
Format: Article
Language:English
Published: MDPI AG 2018-11-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/10/11/652
Description
Summary:The article is written with the objectives to introduce a multi-variable hybrid class, namely the Hermite⁻Apostol-type Frobenius⁻Euler polynomials, and to characterize their properties via different generating function techniques. Several explicit relations involving Hurwitz⁻Lerch Zeta functions and some summation formulae related to these polynomials are derived. Further, we establish certain symmetry identities involving generalized power sums and Hurwitz⁻Lerch Zeta functions. An operational view for these polynomials is presented, and corresponding applications are given. The illustrative special cases are also mentioned along with their generating equations.
ISSN:2073-8994