Bicomplex Mittag-Leffler Function and Properties
Complex Variables
2021-07-20 v1
Abstract
With the increasing importance of the Mittag-Leffler function in the physical applications, these days many researchers are studying various generalizations and extensions of the Mittag-Leffler function. In this paper efforts are made to define bicomplex extension of the Mittag-Leffler function and also its analyticity and region of convergence are discussed. Various properties of the bicomplex Mittag-Leffler function including integral representation, recurrence relations, duplication formula and differential relations are established.
Cite
@article{arxiv.2103.10324,
title = {Bicomplex Mittag-Leffler Function and Properties},
author = {Ritu Agarwal and Urvashi Purohit Sharma and Ravi P. Agarwal},
journal= {arXiv preprint arXiv:2103.10324},
year = {2021}
}