CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
The generalized matrix valued hypergeometric equation
Autor/es:
P. ROMÁN; S. SIMONDI
Revista:
INTERNATIONAL JOURNAL OF MATHEMATICS
Editorial:
World Scientific Publishing Company
Referencias:
Año: 2009
ISSN:
0129-167X
Resumen:
The matrix valued analog of the Eulers hypergeometric differential equation was introduced by Tirao in [1]. This equation arises in the study of matrix valued spherical functions and in the theory of matrix valued orthogonal polynomials. The goal of this paper is to extend naturally the number of parameters of Tiraos equation in order to get a generalized matrix valued hypergeometric equation. We take advantage of the tools and strategies developed in [1] to identify the corresponding matrix hypergeometric functions nFm. We prove that, if n = m+ 1, this functions are analytic for |z| < 1 and we give a necesary condition for the convergence on the unit circle |z| = 1.
