Results 151 to 160 of about 2,865 (170)

Starlikeness of Gaussian Hypergeometric Functions Using Positivity Techniques

Bulletin of the Malaysian Mathematical Sciences Society, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priyanka Sangal, A. Swaminathan
openaire   +2 more sources

DEVELOPMENT OF A GAUSSIAN HYPERGEOMETRIC FUNCTION CODE IN COMPLEX DOMAINS

International Journal of Modern Physics C, 1993
The analytic properties of the Gaussian hypergeometric function is reviewed and applied to the development of a Fortran function code. The code developed can be used to evaluate the hypergeometric function on the whole complex plane with arbitrary complex parametric values.
openaire   +2 more sources

Monotonicity of the ratio of two arbitrary gaussian hypergeometric functions

Mathematica Slovaca
Abstract The Gaussian hypergeometric function is an important class of special functions, whose mathematical properties have long been of interest to the academic community. In this paper, by utilizing monotonicity rules, we establish the necessary and sufficient conditions for the monotonicity of the ratio of two Gaussian hypergeometric
Mao, Zhong-Xuan, Tian, Jing-Feng
openaire   +1 more source

Triple Gaussian hypergeometric functions. I

1994
The author studies second order solution types of the systems of hypergeometric functions \(F_ G\) and \(F_ T\) of three variables introduced by \textit{G. Lauricella} [Rend. Circ. Mat. Palermo 7, 111-158 (1893)] and \textit{S. Saran} [Ganita 5, No. 2, 77-91 (1954; Zbl 0058.296)] and shows that the partial differential equations associated with the ...
openaire   +2 more sources

Parameter derivatives of the jacoby polynomials and the gaussian hypergeometric function

Integral Transforms and Special Functions, 1994
The paper's main result is a simple derivation rule for the Jacobi polynomials with respect to their parameters, i.e. for [image omitted] . It is obtained via relations for the Guassian hypergeometric function concernuing parameter derivatives and integer shifts in the first two arguments.
openaire   +1 more source

Functional inequalities for Gaussian hypergeometric function and generalized elliptic integral of the first kind

Mathematica Slovaca, 2021
Yuming Chu
exaly  

New Applications of Gaussian Hypergeometric Function for Developments on Third-Order Differential Subordinations

Symmetry, 2023
Gheorghe Oros, Georgia Irina Oros, Lavinia Florina Preluca   +2 more
exaly  

A Gaussian Hypergeometric Function Identity

SIAM Review, 1977
openaire   +1 more source

THE GAUSSIAN HYPERGEOMETRIC FUNCTION 2F1

1975
openaire   +1 more source

Monotonicity Properties of Gaussian Hypergeometric Functions with Respect to the Parameter

Pure Mathematics, 2023
openaire   +1 more source