Book Review: Generalized hypergeometric functions
نویسندگان
چکیده
منابع مشابه
HYPERgeometric functions DIfferential REduction: MATHEMATICA based packages for differential reduction of generalized hypergeometric functions: Horn hypergeometric functions of two variables
The HYPERDIRE is a project devoted to creation of a set of Mathematica based programs for differential reduction of hypergeometric functions. The current version allow to manipulate with full set of Horn hypergeometric functions of two variables (34 functions). PROGRAM SUMMARY Title of program: HYPERDIRE Version: 1.0.0 Release: 1.0.0 Catalogue number : Program obtained from: https://sites.googl...
متن کاملp-VALENT FUNCTIONS ASSOCIATED WITH WRIGHT’S GENERALIZED HYPERGEOMETRIC FUNCTIONS
The Wright’s generalized hypergeometric function is used here to introduce a new class of p-valent functions WT p(λ, α, β) defined in the open unit disc and investigate its various characteristics. Further we obtain distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity of functions belonging to the class WT p(λ, α, β).
متن کاملSubclasses of analytic functions associated with Wright generalized hypergeometric functions
In this paper, we define a generalized class of starlike functions with negative coefficients and obtain coefficient estimates, distortion bounds, closure theorems and extreme points. Further we obtain modified Hadamard product, radii of close-to-convex, starlikeness and convexity for functions belonging to this class. Furthermore neighborhood results are discussed.
متن کاملGenerating functions for the generalized Gauss hypergeometric functions
Formulas and identities involving many well-known special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) play important rôles in themselves and in their diverse applications. Various families of generating functions have been established by a number of authors in many different ways. In this paper, we aim at establishing some (presumably new) gene...
متن کاملCertain Properties of the Generalized Gauss Hypergeometric Functions
In this paper, we aim at establishing certain integral transform and fractional integral formulas for the generalized Gauss hypergeometric functions, which was introduced and studied by Özergin et al. [J. Comput. Appl. Math. 235(2011), 4601-4610]. All the results derived here are of general character and can yield a number of (known and new) results in the theory of integral transforms and frac...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1993
ISSN: 0273-0979
DOI: 10.1090/s0273-0979-1993-00419-1