Fractional Derivatives of Certain Generalized Hypergeometric Functions of Several Variables
β Scribed by H.M. Srivastava; R.C.S. Chandel; P.K. Vishwakarma
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 395 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Generalized moments may be defined for functions of several variables. A theorem is proved characterizing the families of functions which are generalized moments of a smooth rapidly decreasing function.
We consider the linear independence of the values of solutions of certain functional equations in several variables. As an application we obtain a quantitative refinement of a certain result of BeΒ΄zivin.
Certain general fractional derivatives formulas involving the H-function of one and more variables are established that generalize the corresponding results considered by Srivastava and Goyal. This leads us to an extension of the expansion formula for the Lauricella function F Ε½ r . given by Srivast
In the first part, we generalize the classical result of Bohr by proving that an m Ε½ analogous phenomenon occurs whenever D is an open domain in β«ήβ¬ or, more . Ε½ . Ο± generally, a complex manifold and is a basis in the space of holomorphic n ns0 Ε½ . Ε½ . functions H D such that s 1 and z s 0, n G 1,