Autor: R. K. Saxema y R. U. VernaVolumen: XLI, Número: 3-4, Año: 1981, Páginas: 191-198
Series representations for the H-function of two variables introduced earlier by Verma, are investigated when the poles of the integrand are assumed to be simple. Such representations seem to be non-existent in the literature. Since a number of density functions in a bivariate statistical probability distributions associated with an H-function of one variable are expressible in terms of H-function of two variables, the series representations obtained here would be useful in various problems relating to statistical probability distributions.
Incidentally a special case of one of these series representations gives rise to the series-representation of the generalized Kampe de Feriet’s function, defined and studied by Srivastava and Daoust [ 8 ]and whose convergence conditions are also discussed by them in a subsequent publication . Consequently a general definition of the Srivastava and Daoust function has been obtained in terms of a double Mellin Barnes type integral.