A Study of Some Special Functions and Polynomials of Complex Variables: Advanced Study and Developing Some Topics in Complex Analysis, Special Functions and their Applications - Couverture souple

Shehata, Ayman; Saleh, Mohamed; Tawfik, Mahmoud

 
9783846538289: A Study of Some Special Functions and Polynomials of Complex Variables: Advanced Study and Developing Some Topics in Complex Analysis, Special Functions and their Applications
Couverture souple
ISBN 10 : 3846538280 ISBN 13 : 9783846538289
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

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 function and Horn matrix function of two complex variables. The results of this chapters are variant and significant and so it are interesting and capable to develop its study in the future.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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 function and Horn matrix function of two complex variables. The results of this chapters are variant and significant and so it are interesting and capable to develop its study in the future.

Biographie de l'auteur

A. Shehata has got his B.Sc.(Applied Mathematics-Elasticity)2006.He got his greduated Ph.D.degree in(Pure Mathematics-Mathematical Analysis-Complex Analysis+Special Functions)Department of Mathematics-Faculty of Sciences-Assiut Unviersity,Egypt.2009. The filed of interests are Mathematical, Complex Analysis, Special Functions and their applications

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3846538280
ISBN 13 
9783846538289
Reliure
Broché
Nombre de pages
148
Coordonnées du fabricant
non disponible
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