Results 91 to 100 of about 36,027 (210)

Integrals involving generalized hypergeometric and Kampé de Fériet function

Revista Técnica de la Facultad de Ingeniería, 2011
Integrals involving hypergeometric functions have diverse applications in analysis, statistics, physics and engineering. In this work we evaluate integrals involving the generalized hypergeometric function and the Kampé de Fériet function.
Ana Isolina Prieto, Leda Galué
doaj  

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Integral Transforms for the New Generalized Beta Function

Journal of New Theory, 2019
In this paper, some representation formulas for the generalized Gamma and Beta functions are obtained. Also, certain integral transforms for the generalized Beta function associated with the Wright hypergeometric function are derived.
Ahmed Ali Al-gonah, Waleed Khadher Mohammed   +1 more
doaj  

On the Application of a Hypergeometric Identity to Generate Generalized Hypergeometric Reduction Formulas

Axioms
We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special cases are also provided.
Juan Luis González-Santander
doaj   +1 more source

Evaluation of Certain Definite Integrals Involving Generalized Hypergeometric Functions

Axioms
In 2012, Chu investigated the generalization of classical Watson–Whipple–Dixon summation theorems in the form of analytical formulas. By employing four generalized Watson summation formulas, the objective of this paper is to evaluate a new class of ...
Prathima Jayarama, Dongkyu Lim, Arjun K. Rathie, Adem Kilicman   +3 more
doaj   +1 more source

Integral representations of generalized Lauricella hypergeometric functions

International Journal of Mathematics and Mathematical Sciences, 1992
The generalized hypergeometric function was introduced by Srivastava and Daoust. In the present paper a new integral representation is derived. Similarly new integral representations of Lauricella and Appell function are obtained.
Vu Kim Tuan, R. G. Buschman
doaj   +1 more source

A generating function for generalized hypergeometric polynomial

Revista Técnica de la Facultad de Ingeniería, 2011
The object of the present paper is to establish a general expansion formula, which provides us a generating function for the generalized hypergeometric polynomials .
P. Munot, P. Padmanabham
doaj  

Inequalities for generalized hypergeometric functions

Journal of Approximation Theory, 1972
AbstractIt is shown that some well-known Padé approximations for a particular form of the Gaussian hypergeometric function and two of its confluent forms give upper and lower bounds for these functions under suitable restrictions on the parameters and variable.
openaire   +2 more sources

The Saigo operator applied to some special functions

Revista Técnica de la Facultad de Ingeniería, 2010
The Saigo fractional operators are defined using the Gauss hypergeometric functions as kernel. They generalize Riemann-Liouville, Erdélyi-Kober and Weyl operators.
Josefina Matera, Beatriz González
doaj  

Value of Generalized Hypergeometric Function at Unity [PDF]

, 1997
Value of generalized hypergeometric function at a special point is calculated. More precisely, value of certain multiple integral over vanishing cycle (all arguments collapse to unity) is calculated. The answer is expressed in terms of $ $-functions.
openaire   +2 more sources