An Extension of Beta Function by Using Wiman’s Function
Rahul Goyal, Shaher Momani, Praveen Agarwal, Michael Th. Rassias
Abstract
The main purpose of this paper is to study extension of the extended beta function by Shadab et al. by using 2-parameter Mittag-Leffler function given by Wiman. In particular, we study some functional relations, integral representation, Mellin transform and derivative formulas for this extended beta function.
Topics & Concepts
Mittag-Leffler functionMathematicsBETA (programming language)Beta function (physics)Extension (predicate logic)Function (biology)Representation (politics)Mellin transformBeta distributionGamma functionFractional calculusApplied mathematicsMathematical analysisStatisticsComputer scienceLaplace transformPhysicsQuantumEvolutionary biologyLawPoliticsBiologyPolitical scienceQuantum gravityQuantum mechanicsProgramming languageRelationship between string theory and quantum field theoryNumerical methods in inverse problemsIterative Methods for Nonlinear EquationsMatrix Theory and Algorithms