Studv and Developing Some Subiects in Complex Analvsis

Abstract

The subjects of special functions and basic sets of polynomials of the single complex variable and several complex variables have a great situation in almost all disciplines Mathematics, Physics and Engineering. The present work is devoted to study these subjects and is considered to be one of several theses, which presented and still presented by the school established by Sayyed in one of the branches of complex analysis. This thesis investigates some subjects in complex analysis such as generalizations of hypergeometric matrix function in a single complex variable and several complex variables, the generalized Hermite matrix polynomials, Hadamard product set of maximum modulus sets associated with entire functions and Hadamard product set of D - sets of polynomials of two complex variables. Some results, which are important in this field, have been obtained in this thesis.