Aleph-function of two variables
Certain Fractional Q-Derivative Integral Formulae for the Basic Aleph-Function of Two Variables
... Using the definition of the generalized Weyl fractional q-integral operator (1.6) in the left hand side of (3.3), writing the function in the form by (2.2), interchanging the order of integrations which is ...
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Integral involving a generalized multiple-index Mittag-Leffler function, Bessel functions, a class of polynomials multivariable Aleph-function and multivariable I-function
... Mittag-Leffler function in serie with the help of equation (2.1), the Aleph-function of r variables in series with the help of equation ...several variables with the help of equation ...
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Eulerian integral associated with product of two multivariable Aleph-functions and a class of polynomials
... of two Multivariable Aleph- functions, a multivariable A-function and a general class of multivariable polynomials defined by Srivastava et al ...The Aleph-function of several ...
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Eulerian integral associated with product of two multivariable Aleph-functions, the multivariable -function and a class of polynomials
... The Aleph-function of several variables generalize the multivariable I-function defined by Sharma and Ahmad [2] , itself is an a generalisation of G and H-functions of several variables ...
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Eulerian integral associated with product of two multivariable Aleph-functions, generalized Lauricella function and a class of polynomials and Multivariable I-function defined by Nambisan I
... The Aleph-function of several variables generalize the multivariable I-function defined by Sharma and Ahmad [2] , itself is an a generalisation of G and H-functions of several variables ...
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Multiple Integrals Involving A Extension of The Hurwitz-Lerch Zeta Function, Class of Pol,Ynomials, Multivariable I-Function, Multivariable Aleph-Function and Product of Two Jacobi Polynomials
... Zeta function in serie with the help of equation (2.1), the Aleph-function of r variables in series with the help of equation ...several variables with the help of equation ...s ...
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Eulerian integral associated with product of two multivariable Aleph-functions and classes of polynomials
... The Aleph-function of several variables generalize the multivariable I-function defined by Sharma and Ahmad [2] , itself is an a generalisation of G and H-functions of several variables ...
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A general Eulerian integral associated with product of two multivariable Aleph-functions
... the Aleph-function of s- variables and u-variables by the Mellin-Barnes contour integral with the help of the equation ...hypergeometric function in Mellin-Barnes contour integral with ...
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Selberg integral involving the incomplete generalized hypergeometric function,a class of polynomials and multivariable Aleph-functions
... of two multivariable Aleph-functions, a class of polynomials of several variables and the generalized incomplete hypergeometric ...multivariable Aleph-function, which is a general ...
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On general Eulerian integral of certain products of two multivariable Aleph-functions and a class of multivariable polynomials
... The Aleph-function of several variables generalize the multivariable I-function defined by Sharma and Ahmad [2] , itself is an a generalisation of G and H-functions of several variables ...
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On integration of certain products involving general polynomials, Aleph-function and the multivariable Aleph-function
... We use the series form concerning the polynomial of several variables and Aleph-function of one variable with help of (1.1) and (1.5) respectively and expressing the multivariable ...
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Generalized finite integral involving a sequence of functions, a general class of polynomials,the multivariable Aleph-function and the multivariable I-function I
... [3]Fujiwara I. A unified presentation of classical orthogonal polynomials. Math. Japon. 11 (1966), page133-148. [4] Y.N. Prasad , Multivariable I-function , Vijnana Parishad Anusandhan Patrika 29 ( 1986 ) , page ...
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Finite integral involving the spheroidal function, a class of polynomials multivariable Aleph-functions and Fresnel integral
... spheroidal function,the Fresnel integral, the multivariable Aleph-functions and general class of polynomials of several variables with general ...the Aleph-function of several ...
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Selberg Integral Involving A Extension of The Hurwitz-Lerch Zeta Function, Class of Pol,Ynomials, Multivariable I-Function and Multivariable Aleph-Function II
... the Aleph-function of r variables in series with the help of equation ...several variables with the help of equation (1.21) and the I-function of s variables in defined by Prasad ...
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Integrals transforms and Fourier series containing some product os special functions
... like Aleph-function, generalization of M-series, multivariable aleph- function and the general class of ...like Aleph-function, generalized M-series, multivariable ...
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Generalized fractional integral operators associated with aleph function
... We have established two new integral relations involving the product of the Srivastava’s polynomials and the -function. We can also derived analogous result in the form of Riemann-Liouville and ...
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Vol 8, No 5 (2017)
... 4. THE IMAGE OF M-L TYPE E-FUNCTION UNDER ERDELYI- KOBER (E-K) OPERATOR Ξ η + , θ 0 Theorem 4.1: If convergence condition (3), (9) and (12) are satisfied also η , θ ∈ C , ℜ ( η ). > 0 and ℜ ( ) θ > 0 then ...
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On Some Double Integral Transform of Aleph() -Function
... Abstract: In the present paper , the author will establish a double integral transform of Aleph -function which leads to yet another interesting process of augmenting the parameters in the ...
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A new class of theta function identities in two variables
... Abstract. We describe a new series of identities, which hold for certain gen- eral theta series, in two completely independent variables. We provide explicit examples of these identities involving the ...
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On Transformation Involving Basic I-Function of Two Variables
... The fractional q-calculus is the q-extension of the ordinary fractional calculus. The subject deals with the investigations of q-integral and q-derivatives of arbitrary order, and has gained importance due to its various ...
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