Bicomplex Mittag-Leffler function and associated properties
Ritu Agarwal, Urvashi Purohit Sharma, Rishabh Agarwal
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.
Topics & Concepts
Mittag-Leffler functionFunction (biology)Extension (predicate logic)MathematicsRepresentation (politics)Pure mathematicsConvergence (economics)Applied mathematicsAlgebra over a fieldFractional calculusComputer scienceEconomic growthPoliticsBiologyPolitical scienceProgramming languageEvolutionary biologyEconomicsLawFractional Differential Equations SolutionsNonlinear Waves and SolitonsAlgebraic and Geometric Analysis