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arXiv · 2103.10324

Bicomplex Mittag-Leffler Function and Properties

Ritu Agarwal·Urvashi Purohit Sharma·Ravi P. Agarwal
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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.

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Ritu Agarwal, Urvashi Purohit Sharma, Ravi P. Agarwal. 2021-03-18. Bicomplex Mittag-Leffler Function and Properties. https://doi.org/10.22436/jnsa.015.01.04

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