On Gaussian Hypergeometric Functions of Three Variables: Some New Integral Representations
نویسندگان
چکیده
The present paper establishes several new integral representations of the Euler type and Laplace for some Gauss hypergeometric functions three variables. main results are obtained by using properties Gamma beta functions. novel carried out through ten Therefore, all derived integrals generalization representation classical function one two In addition, numerical examples were given to describe results.
منابع مشابه
Application of some integral transforms and multiple hypergeometric functions in modeling randomly weighted average of some random variables
This article has no abstract.
متن کاملIntegral Properties of Zonal Spherical Functions, Hypergeometric Functions and Invariant
Some integral properties of zonal spherical functions, hypergeometric functions and invariant polynomials are studied for real normed division algebras.
متن کاملSolution of Some Integral Equations Involving Confluent k-Hypergeometric Functions
The principle aim of this research article is to investigate the properties of k-fractional integration introduced and defined by Mubeen and Habibullah [1], and secondly to solve the integral equation of the form 1 1 0 , ; d , ; k x k k x t g x F t x f t k t t 0, 0, 0,0 k x , for , where 1 1 , ; , ; k F x k ...
متن کاملOn some Integral Representations of Certain G-Functions
This is a brief exposition of some statistical techniques utilized to obtain several useful integral equations involving G-functions.
متن کاملThree Lectures on Hypergeometric Functions
In this course we will study multivariate hypergeometric functions in the sense of Gel’fand, Kapranov, and Zelevinsky (GKZ systems). These functions generalize the classical hypergeometric functions of Gauss, Horn, Appell, and Lauricella. We will emphasize the algebraic methods of Saito, Sturmfels, and Takayama to construct hypergeometric series and the connection with deformation techniques in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2022
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2022/1914498