… study of the hypergeometric function with matrix arguments F(A,B;C;z). Conditions for matrices
A, B… [4-6] and its operational calculus suggest the study of hypergeometric matrix function. …

… Then the hypergeometric matrix function is defined by the matrix power series in the form (…
the hypergeometric matrix function are recovered from those of the matrix functions introduced …

… a Wright hypergeometric matrix function by using properties Pochhammer matrix symbol and
… In Section 3, we define and study the incomplete Wright hypergeometric matrix functions by …

… the matrix analog of the three variables and Srivastava’s triple hypergeometric functions. …
regions of convergence of Lauricella matrix functions and Srivastava’s triple hypergeometric …

… In the present paper, we extend the matrix analogues of special functions to generalized
Gauss hypergeometric function, Appell’s four hypergeometric functions of two variables and …

… The hypergeometric function is the complete analytic continuation of the function defined …
complex number field) of functions which are holomorphic on the universal covering surface W …

… extended Gauss hypergeometric matrix function EGHMF. The generating functions and integral
… hypergeometric matrix function which includes Jacobi matrix polynomials is constructed. …

… Terao [Or-Te3], which sheds light on hypergeometric functions from viewpoint of arrangements
of hyperplanes, are particularly related to the contents of this book. In this English edition, …

… those results necessary for our treatment of hypergeometric functions on S. In particular,
we normalize the zonal polynomial Zm of weight m in such a way as to reduce to unity all the …

… on the distance, in the supremum norm on R , between a certain generalized hypergeometric
function of scalar matrix argument and the Gaussian quantity, exp ( − t 2 / 2 ) , t ∈ R . …