New Kinds of Hypergeometric Matrix Functions
Journal of Advances in Mathematics and Computer Science · pp. 92–103 · Published 9 Oct 2014
10.9734/BJMCS/2015/11492Abstract
The present paper deals with the definition and study of new kinds of hypergeometric matrix functions within complex analysis. We also get the radius of regularity and matrix recurrence relations are then developed for l(m, n)-hypergeometric matrix function of two complex variables. We give a different approach to prove the effect of the differential operator on this function. Finally, another hypergeometric matrix function, namely, p l(m, n)-hypergeometric matrix function of two complex variables are defined, its components when the positive integer p is greater than one, provide a matrix partial differential equation satisfied by these function and some of their properties are investigated.
References (8)
- 1 Matrix Computations [DOI]
- 2 On the hypergeometric matrix function [DOI]
- 3 Some properties of Gamma and Beta matrix functions [DOI]
- 4 Closed form general solution of the hypergeometric matrix differential equation [DOI]
- 5 Partial differential equations for hypergeometric functions of two argument matrices [DOI]
- 6 CERTAIN HYPERGEOMETRIC MATRIX FUNCTIONS [DOI]
- 7 On p and q-Horn’s Matrix Function of Two Complex Variables [DOI]
- 8 Certain pl(m,n)-Kummer Matrix Function of Two Complex Variables under Differential Operator [DOI]
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