Bicomplex Mittag-Leffler function and associated properties
Ritu AgarwalDepartment of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, IndiaUrvashi Purohit SharmaRishabh AgarwalDepartment of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India
2021en
ABI
Abstract
With the increasing importance of the Mittag-Leffler function in 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 the 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.
Identifiers
Citations and references
Cited by 30 references