Results 101 to 110 of about 12,473 (234)

Some Connections between the Spherical and Parabolic Bases on the Cone Expressed in terms of the Macdonald Function

Abstract and Applied Analysis, 2014
Computing the matrix elements of the linear operator, which transforms the spherical basis of SO(3,1)-representation space into the hyperbolic basis, very recently, Shilin and Choi (2013) presented an integral formula involving the product of two ...
I. A. Shilin, Junesang Choi
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Triality in SU(2) Seiberg-Witten theory and Gauss hypergeometric function

, 2010
Through AGT conjecture, we show how triality observed in \N=2 SU(2) N_f=4 QCD can be interpreted geometrically as the interplay among six of Kummer's twenty-four solutions belonging to one fixed Riemann scheme in the context of hypergeometric ...
Tai, Ta-Sheng
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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

On a problem for mixed type equation with partial riemann-liouville fractional derivative

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
The uniqueness and existence of solutions of a nonlocal problem proved for an equation of mixed type. This equation contains diffusion equation of fractional order.
Oleg A Repin, Anna V Tarasenko
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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  

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
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A Class of Extended Fractional Derivative Operators and Associated Generating Relations Involving Hypergeometric Functions

Axioms, 2012
Recently, an extended operator of fractional derivative related to a generalized Beta function was used in order to obtain some generating relations involving the extended hypergeometric functions [1].
H. M. Srivastava, Rakesh K. Parmar, Purnima Chopra   +2 more
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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
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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

Some transformations and integral representations of horn's functions

Revista Técnica de la Facultad de Ingeniería, 2011
  Horn gave the general definition of hypergeometric functions of two variables. There are thirty four hypergeometric functions of two variables of this type. Fourteen functions are complete and the remaining twenty are the confluente cases.
V. Kim Tuan, S. L. Kalla
doaj