[PDF] Top 20 EXPANSION FORMULAE INVOLVING A FUNCTION
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EXPANSION FORMULAE INVOLVING A FUNCTION
... of expansion formulae of generalized hypergeometric functions occupies a vital position in the literature of special ...two-dimensional expansion formulae of generalized hypergeometric ... See full document
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On Certain Expansions for Generalized Multivariable Gimel-Function II
... of formulae involving simpler special functions ( ultraspherical -Gegenbauer, Legendre, Tchebyshev, Bateman’s, Hermite, Laguerre polynomials and ...several formulae involving remarkably wide ... See full document
16
Certain Transformation Formulae for the Multivariable Gimel Function
... series formulae we can obtain a large single, double or multiple ...several formulae involving remarkably wide variety of useful functions ( or product of such functions) which are expressible in ... See full document
9
Finite Summation Formulae for the Multivariable Gimel-Function
... series formulae utilized, we can obtain a large single, double ...several formulae involving remarkably wide variety of useful functions ( or product of such functions) which are expressible in terms ... See full document
8
A Double Expansion Formula for Generalized Multivariable Gimel-Function Involving Jacobi Polynomials and Bessel Functions
... of expansion formulae and Fourier series of special functions occupies a large place in the literature of special ...double expansion formulae and double Fourier series of generalized ... See full document
8
Fractional Integral Formulae Involving the Srivastava-Daoust Functions and the Multivariable Gimel-function
... To establish (2.1), we first express the Srivastava-Daoust functions occurring on the left-hand side in series form given by (1.13) and replace the generalized multivariable Gimel-function by its Mellin-Barnes ... See full document
9
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
... integral involving the product of two multivariable Aleph- function, a expansion of multivariable I-function defined by Nambisan et al [1] and a class of multivariable polynomials defined by ... See full document
14
Eulerian integral associated with product of two multivariable Aleph-functions and a class of polynomials
... integral involving the product of two multivariable Aleph- function, an expansion of multivariable A-function and a class of multivariable polynomials defined by Srivastava et al [5] with ... See full document
16
Eulerian integral associated with product of two multivariable I-functions, a class of polynomials and the multivariable Aleph-function I
... integral involving the product of two multivariable I-functions defined by Prasad [1],a expansion of multivariable Aleph-function and a class of multivariable polynomials defined by Srivastava et al ... See full document
16
A study of unified results involving a product of generalized Legendre's function, a general class of polynomials, Aleph-function with the multivariable I-function
... integral involving general class of polynomials, Legendre's associated function, Aleph-function and I- function of several variablesdefined by Prasad [3] has been evaluated and an ... See full document
8
On Certain Expansion for Generalized Multivariable Gimel-Function
... of formulae involving simpler special functions ( Ultraspherical polynomials, Chebyshev, Legendre, Bateman’s, Hermite, Laguerre polynomials and ...several formulae involving remarkably wide ... See full document
10
Eulerian integral associated with product of two multivariable I-functions, a class of polynomials and the multivariable A-function
... integral involving the product of two multivariable I-functions defined by Prasad [1],a expansion of multivariable A-function and a class of multivariable polynomials defined by Srivastava et al [5] ... See full document
15
Integrals Involving The Multivariable Beth-Function
... integrals formulae involving remarkably wide variety of useful functions ( or product of such functions) which are expressible in terms of E, F, G, H, I, Aleph-function of one and several variables ... See full document
9
Fractional integral formulae involving the Srivastava-Daoust functions and the multivariable Aleph-function
... To establish (2.1), we first express the Srivastava-Daoust functions occuring on the left-hand side in series form given by (1.12) and replace the multivariable Aleph-function by its Mellin-Barnes contour integral ... See full document
8
Some Finite Series for Generalized Multivariable Gimel-Function
... series formulae lies in their manifold ...integral formulae involving in remarkably wide variety of useful function (or product of such functions) which are expressible in terms of E, F, G, H, ... See full document
9
A General Class of Multiple Eulerian Integrals Involving a Multivariable Gimel-Function with General Arguments
... several formulae involving remarkably wide variety of useful functions ( or product of such functions) which are expressible in terms of E, F, G, H, I, Aleph-function of one and several variables and ... See full document
12
Some Finite Double Integral Formulae Involving Generalized Multivariable Gimel-Function
... To prove (3.1), on the lef hand side of (2.1), using the series representation of with the help of (1.15) and expressing the generalized multivariable Gimel-function as Mellin-Barnes multiple integrals contour ... See full document
11
Contour Integrals Involving Generalized Associated Function and Generalzed Multivariable Gimel-Function
... several formulae involving remarkably wide variety of useful functions ( or product of such functions) which are expressible in terms of E, F, G, H, I, Aleph-function of one and several variables and ... See full document
11
Regularized sum for eigenfunctions of multi point problem in the commensurable case
... According to 4.1, we see that the Green’s function Gx,{,p of the problem 6.24-6.25 has the following asymptotic formulae:.. using the ymptotic formulae 6.35 for Gx,,p in.[r] ... See full document
14
A Completely Monotonic Function Involving Divided Difference of Psi Function and an Equivalent Inequality Involving Sum
... a function involving the divided difference of the psi function is proved to be completely monotonic, a class of inequalities in- volving sum are founded, and an equivalent relation between the ... See full document
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