English

The 2-variable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials

Classical Analysis and ODEs 2018-11-16 v1

Abstract

In this paper, we introduce The 2-variable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials and derive some implicit summation formulae and general symmetry identities. The result extend some known summations and identities of generalized Bernoulli, Euler and Genocchi numbers and polynomials.

Keywords

Cite

@article{arxiv.1811.06359,
  title  = {The 2-variable unified family of generalized Apostol-Euler, Bernoulli and Genocchi polynomials},
  author = {Beih S. El-Desouky and Rabab S. Gomaa and Alia M. Magar},
  journal= {arXiv preprint arXiv:1811.06359},
  year   = {2018}
}