Bicomplex Mittag-Leffler function and associated properties
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Authors
R. Agarwal
- Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, India.
U. P. Sharma
- Department of Mathematics, Malaviya National Institute of Technology, Jaipur-302017, , India.
R. P. Agarwal
- Department of Mathematics, Texas A\(\&\)M University, Kingsville 700 University Blvd., Kingsville, USA.
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.
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ISRP Style
R. Agarwal, U. P. Sharma, R. P. Agarwal, Bicomplex Mittag-Leffler function and associated properties, Journal of Nonlinear Sciences and Applications, 15 (2022), no. 1, 48--60
AMA Style
Agarwal R., Sharma U. P., Agarwal R. P., Bicomplex Mittag-Leffler function and associated properties. J. Nonlinear Sci. Appl. (2022); 15(1):48--60
Chicago/Turabian Style
Agarwal, R., Sharma, U. P., Agarwal, R. P.. "Bicomplex Mittag-Leffler function and associated properties." Journal of Nonlinear Sciences and Applications, 15, no. 1 (2022): 48--60
Keywords
- Bicomplex numbers
- exponential function
- Gamma function
- Mittag-Leffler function
MSC
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