SOME SPECIAL FUNCTIONS AND SETS OF POLYNOMIALS OF SEVERAL COMPLEX VARIABLES
Mosaed Mahmoud Makky;
Abstract
In this chapter certain differential and integral operators are introduced to the Appell's hypergeometric function of two complex variables.
In article 1.1 we consider composite hypergeometric function and
Euler's operator of the 2 nd type. While in article 1. 2 we
consider the same operator acting on Jackson hypergeometric function. Another type of hypergeometric functions, namely (m,n)-hypergeometric function will be defined and studied in article 1.3. But article 1.4 is devoted to the g(D)-operator acting to the Appell's hypergeometric function, Jackson hypergeometric function, composite hypergeometric function and composite Appell's hypergeometric function. The generalized hypergeometric function of several complex variables and Euler's operator is the subject of
article 1. 5. The study of the integral operator with Appell's
hypergeometric function will be done in article 1.6. Finally in article 1. 7 we define and study Bessel functions of two complex variables.
In article 1.1 we consider composite hypergeometric function and
Euler's operator of the 2 nd type. While in article 1. 2 we
consider the same operator acting on Jackson hypergeometric function. Another type of hypergeometric functions, namely (m,n)-hypergeometric function will be defined and studied in article 1.3. But article 1.4 is devoted to the g(D)-operator acting to the Appell's hypergeometric function, Jackson hypergeometric function, composite hypergeometric function and composite Appell's hypergeometric function. The generalized hypergeometric function of several complex variables and Euler's operator is the subject of
article 1. 5. The study of the integral operator with Appell's
hypergeometric function will be done in article 1.6. Finally in article 1. 7 we define and study Bessel functions of two complex variables.
Other data
| Title | SOME SPECIAL FUNCTIONS AND SETS OF POLYNOMIALS OF SEVERAL COMPLEX VARIABLES | Other Titles | بعض دوال وعديدات حدود خاصة ذات متغيرات مركبة متعددة | Authors | Mosaed Mahmoud Makky | Issue Date | 1994 |
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