Hypergeometric Function
On general Eulerian integral of certain product of Kumari's multivariable I-function the classes of polynomials and generalized hypergeometric function
... generalized hypergeometric function with defined by Kumari et al [2], the classes of multivariable polynomials and generalized hypergeometric function with general ...
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On general Eulerian integral of certain product of multivariable Aleph-function, the classes of polynomials and generalized hypergeometric function
... To prove (3.14), first expressing a class of multivariable polynomials defined by Srivastava [4] in serie with the help of (1.13), a class of multivariable polynomials defined by Srivastava et al [6] in serie with the ...
12
On general Eulerian integral of certain product multivariable A-function, the classes of polynomials and generalized hypergeometric function
... generalized hypergeometric function with defined by Gautam et al [1], the classes of multivariable polynomials and generalized hypergeometric function with general ...
11
The Distance Modulus in Dark Energy and Cardassian Cosmologies via the Hypergeometric Function
... The presence of the dark energy allows both the acceleration and the expan- sion of the universe. In the case of a constant equation of state for dark ener- gy we derived an analytical solution for the Hubble radius in ...
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On general Eulerian integral of certain products of Aleph-functions, a class of polynomials and generalized hypergeometric function
... To prove (3.16), first, we express in serie the multivariable Aleph-function with the help of (1.6), a class of multivariable polynomials defined by Srivastava et al [5] in serie with the help of (1.21), the ...
14
Relations between Lauricella’s triple hypergeometric function FA(3)(x,y,z) and Exton’s function X8
... Motivated essentially by the works by Lardner [] and Carlson [], by simply splitting Lauricella’s triple hypergeometric function F A () (x, y, z) into eight parts, very recently Choi et al. [] presented ...
7
Selberg integral involving the S generalized Gauss's hypergeometric function, a class of polynomials the multivariable I-function and multivariable Aleph-functions
... In this paper we have evaluated a modified Selberg integral involving the product of the multivariable Aleph-function , the multivariable I-function defined by Nambisan et al [3], the S generalized Gauss ...
9
On general Eulerian integral of certain product Prasad's multivariable I-function, the classes of polynomials and generalized hypergeometric function
... The object of this paper is to establish an general Eulerian integral involving the product of the multivariable I-function defined by Prasad [1], the general classes of multivariable polynomials and a generalized ...
12
5. On Generalized Fractional $q$-Integral Operators Involving The $q$-Gauss Hypergeometric Function
... hand side of (2.1) and (2.2) is the Gaussian 𝑞-hypergeometric function defined as special case (for 𝑟 = 2 and 𝑠 = 1) of the power series (1.14). Using series definitions of the basic integrals given by ...
10
Selberg integral involving the S generalized Gauss's hypergeometric function ,a class of polynomials, the multivariable Aleph-function and the multivariable I-function
... In the present paper we evaluate the modified Selberg integral involving the product of a multivariable Aleph-function, a multivariable I-function defined by Prasad [2] , the S generalized Gauss ...
11
Multiple Integrals Involving The S Generalized Gauss's Hypergeometric Function, Class of Polynomials, Multivariable Aleph-Function and Multivariable I-Function I
... First, expressing the generalized the S generalized Gauss hypergeometric function in serie with the help of equation (2.1), the Aleph-function of r variables in series with the help of equation ...
8
Effectivity of Hypergeometric Function Application in the Numerical Simulation of the Helicopter Rotor Blades Theory
... of hypergeometric function application in transformation of integral equations of k-bladed rotor average induced velocity into special functions ...transformation hypergeometric functions into ...
5
Selberg integral involving the incomplete generalized hypergeometric function,a class of polynomials and multivariable Aleph-functions
... In the present paper we evaluate the modified Selberg integral involving the product of a multivariable Aleph-functions, a extension of the incomplete generalized hypergeometric function and general class ...
12
FRACTIONAL INTEGRALS FOR THE PRODUCT OF SRIVASTAVA'S POLYNOMIAL AND (p, q)-EXTENDED HYPERGEOMETRIC FUNCTION
... Abstract. The main object of this paper is to present certain new image formulas for the product of general class of polynomial and (p, q)–extended Gauss’s hypergeometric function by applying the ...
8
Solution of Volterra type integro differential equations with a generalized Lauricella confluent hypergeometric function in the kernels
... Mittag-Leffler function, the involved kernel, is replaced by a generalized Lauricella confluent hypergeometric function in several complex variables and the free term contains a continuous ...
16
Multiple Integrals Transformation about The Generalized Incomplete Hypergeometric Function,a General Class of Polynomials and The Multivariable Aleph-Functions
... In this paper we have evaluated multiple integrals transformation involving the multivariable Aleph-functions, class of polynomials of several variables and generalized incomplete hypergeometric function. ...
9
Abstract The term "hypergeometric function" sometimes refers to the generalized hypergeometric function. In mathematics, the Gaussian or ordinary hypergeometric function
... Infinitorum. Hypergeometric series were studied by Euler, but the first full systematic treatment was given by Gauss (1813), Studies in the nineteenth century included those of Ernst Kummer (1836), and the ...
14
Quadratic transformation inequalities for Gaussian hypergeometric function
... eralizations have attracted attention of many researchers, and was studied deeply in vari- ous fields [2, 5, 9, 11–18, 20, 22, 23, 26, 30, 31, 35–37, 40, 45, 46, 48]. A lot of geometrical and analytic properties, and ...
15
Certain Properties of Extended Wright Generalized Hypergeometric Function
... generalized Hypergeometric function using extended Beta ...generalized Hypergeometric function in the form of Laguerre polynomials and Whittaker ...generalized Hypergeometric ...
7
Heat Conduction and Sequence of Functions Containing Generalized Hypergeometric Function
... generalized hypergeometric function and the multivariable I- function defined by Prathima ...H- function of several variables and I- function of two variables given by Rathi ...
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