Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function
Rahul Goyal, Praveen Agarwal, Georgia Irina Oros, Shilpi Jain
Abstract
The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric relation, integral representations, summation relations, generating relation and functional relation.
Topics & Concepts
Matrix functionMittag-Leffler functionMathematicsMatrix (chemical analysis)Relation (database)BETA (programming language)Extension (predicate logic)Gamma functionFunction (biology)Pascal matrixBeta function (physics)Pure mathematicsSymmetric matrixApplied mathematicsPhysicsComputer scienceFractional calculusQuantum mechanicsQuantum gravityEvolutionary biologyComposite materialQuantumBiologyDatabaseRelationship between string theory and quantum field theoryProgramming languageEigenvalues and eigenvectorsMaterials scienceMatrix Theory and AlgorithmsOptical and Acousto-Optic TechnologiesOptical Polarization and Ellipsometry