Results 111 to 120 of about 43,514 (215)

Certain Results on Extended Beta and Related Functions Using Matrix Arguments

Journal of New Theory
In this study, we present and explore extended beta matrix functions (EBMFs) and their key properties. By utilizing the beta matrix function (BMF), we introduce novel extensions of the Gauss hypergeometric matrix function (GHMF) and Kummer hypergeometric
Saddam Husain, Rakibul Sk, Nabiullah Khan   +2 more
doaj   +1 more source

Solution of abel‐type hypergeometric integral equation

Mathematical Modelling and Analysis, 1997
The paper is devoted to the study of the one‐dimensional integral equation involving the Gauss hypergeometric function in the kernel. The necessary and sufficient conditions for the solvability of such an equation in the space of summable functions are ...
A. A. Kilbas, R. K. Raina, M. Saigo, H. M. Srivastava   +3 more
doaj   +1 more source

Classical elliptic hypergeometric functions and their applications

, 2007
General theory of elliptic hypergeometric series and integrals is outlined. Main attention is paid to the examples obeying properties of the "classical" special functions.
Spiridonov, V. P.
core   +1 more source

Subordination Involving Gauss Hypergeometric Function

The primary objective of this work is to obtain some sufficient conditions so that normalized Gauss hypergeometric function satisfies exponential starlikeness and convexity in the unit disk. Moreover, conditions on parameter of this function has been derived for being Janowski convexity and starlikeness with the help of differential subordination ...
Kumar, Anish, Das, Sourav
openaire   +2 more sources

Hermite-Hadamard inequalities involving the Gauss hypergeometric function

AIP Conference Proceedings, 2018
The goal of this study is obtained the new generalization Hermite-Hadamard-Fejer inequalities involving the Gauss hypergeometric function. The results presented here would provide some fractional inequalities involving Saigo, Erdelyi-Kober and Riemann-Liouville type fractional operators.
openaire   +2 more sources

Further Generalization of Kobayashi's Gamma Function [PDF]

, 2001
In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c ...
Alobaidi, G., Galue, L., Kalla, S.
core  

TRANSFORMATIONS AND INVARIANTS FOR DIHEDRAL GAUSS HYPERGEOMETRIC FUNCTIONS

Kyushu Journal of Mathematics, 2012
Hypergeometric equations with a dihedral monodromy group can be solved in terms of elementary functions. This paper gives explicit general expressions for quadratic monodromy invariants for these hypergeometric equations, using a generalization of Clausen's formula and terminating double hypergeometric sums.
openaire   +3 more sources

The expansion of a finite number of terms of the Gauss hypergeometric function of unit argument and the Landau constants [PDF]

, 2014
We obtain convergent inverse factorial expansions for the sum Sn(a, b; c) of the first n ≥ 1 terms of the Gauss hypergeometric function 2F1(a, b; c; 1) of unit argument. The form of these expansions depends on the location of the parametric excess s := c−
Paris, R. B.
core   +2 more sources

Potential of a Spheroid with Generalized Exponential Density Distribution

Open Astronomy, 2015
The internal potential of an inhomogeneous layered spheroid with a small ellipticity and general exponential density distribution is derived in an analytical form.
Kondratyev B. P., Kireeva E. N.
doaj   +1 more source

A procedure for generating infinite series identities

International Journal of Mathematics and Mathematical Sciences, 2004
A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
doaj   +1 more source