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A Study of Some Special Functions and Polynomials of Complex Variables



Год выпуска: 2011
Автор: Ayman Shehata,Mohamed Saleh and Mahmoud Tawfik
Издательство: LAP Lambert Academic Publishing
Страниц: 148
ISBN: 9783846538289
Описание
The subjects of special functions of 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 one of several theses, which were presented and are still presenting by the school established by Sayyed in one of the branches of complex analysis. This thesis is divided into six main chapters. The main aim of Chapter 1 is to define a new family of special functions, say, $p$-Bessel function of one complex variable. The aim of Chapter 2 is to define and study of new matrix polynomial, say, the Hermite-Hermite matrix polynomials of one complex variable. Chapter 3 deals with the study of the Chebyshev matrix polynomials to be studied of one complex variable. Chapter 4, we introduce a generalization of the Hermite matrix polynomials of two complex variables. Chapter 5,6, we introduced and studied a matrix function, say, the Kummer matrix...


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