English

Extended (p,q)-Mittag-Leffler function and its properties

Classical Analysis and ODEs 2018-08-07 v1 Complex Variables

Abstract

In this study our aim to define the extended (p,q)(p,q)-Mittag-Leffler(ML) function by using extension of beta functions and to obtain the integral representation of new function. We also take the Mellin transform of this new function in terms of Wright hypergeometric function. Extended fractional derivative of the classical Mittag-Leffler(ML) function leads the extended (p,q)-Mittag-Leffler(ML) function.

Cite

@article{arxiv.1808.01404,
  title  = {Extended (p,q)-Mittag-Leffler function and its properties},
  author = {A. Kilicman and G. Rahman and K. S. Nisar and S. Mubeen},
  journal= {arXiv preprint arXiv:1808.01404},
  year   = {2018}
}

Comments

9 pages

R2 v1 2026-06-23T03:24:17.800Z