On degenerate gamma matrix functions and related functions
Mohamed Akel, Ahmed Bakhet, Mohamed Abdalla, Fuli He
Abstract
Recently, the applications of special functions of matrix arguments have received more attention in many fields, such as theoretical physics, number theory, probability theory, engineering and theory of group representations. Gaining enlightenment from these works, in this paper, we introduce the degenerate gamma matrix function, the degenerate zeta matrix function, the degenerate digamma matrix function, the degenerate polygamma matrix function and the degenerate Gauss hypergeometric matrix function. Basic properties of these functions are discussed. In addition, we derive some interesting formulas related to these functions and special cases.
Topics & Concepts
Degenerate energy levelsMathematicsMatrix functionMatrix (chemical analysis)Digamma functionPure mathematicsAlgebra over a fieldGamma functionRiemann zeta functionHypergeometric functionSymmetric matrixQuantum mechanicsPhysicsArithmetic zeta functionEigenvalues and eigenvectorsComposite materialMaterials sciencePrime zeta functionAdvanced Mathematical IdentitiesMathematical functions and polynomialsMathematical Inequalities and Applications