# A new generalization of generalized hypergeometric functions

@article{Rathie1998ANG, title={A new generalization of generalized hypergeometric functions}, author={Arjun Kumar Rathie}, journal={arXiv: Complex Variables}, year={1998} }

In this paper a natural generalization of the familiar H -function of Fox namely the I -function is proposed. Convergence conditions, various series representations, elementary properties and special cases for the I -function have also been given.

## 91 Citations

Unified Finite Integral Associated with Generalized I-function

- Mathematics
- 2018

In this paper, the authors established new results by applying definite integrals on the product of Ī-function with the hypergeometric function. Several other new and known results can also be…

Some Generalized Differentiation Formulae for ̅ -Function

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This paper contains differentiation formulae for H-function. The generalize results established by Devra and Raithie (5; 107-113) special cases include known and new formulae for various special…

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- MathematicsCubo (Temuco)
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The aim of this article is to establish some integral transforms of the generalized Lommel-Wright functions, which are expressed in terms of Wright Hypergeometric function. Some integrals involving…

A Unified Study on Some Transformation Formulas for the Generalized Hypergeometric Function

- Mathematics
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In the present paper we establish four transformati ons of double infinite series involving theH -function. These formulas are then used to obtain double summation f ormulas for the H function. Our…

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- Mathematics
- 2011

The aim of this paper is to study some properties of two fractional operators defined below involving - functions in space Fp,u and F 'p,u .

ON CERTAIN DERIVATIVES OF THE I-FUNCTION OF TWO VARIABLES 1

- Mathematics
- 2013

In this paper we establish some differentiation formulas for the I-function of two variables recently defined by Shantha Kumari, et al. in [17]. A number of special cases of our results are also…

Some properties of Euler type integral operator involving generalized Bessel-Maitland function

- Mathematics
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The aim of the present research paper is to establish a new class of extended Beta type integral operators involving generalized Bessel-Maitland function, defined by Ghayasuddin and Khan [6].…

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- 2017

The main object of this article is to present an interesting double integral involving generalized Bessel-Maitland function defined by Ghaysuddin et al., which is expressed in terms of generalized…

BIVARIATE LAPLACE TRANSFORM INVOLVING CERTAIN PRODUCT OF SPECIAL FUNCTIONS

- Mathematics
- 2011

The object of this paper is to obtain new operational relations between originals and the image for the two dimensional Laplace transforms that involve I-function and the multivariable H-function.…

Some Double Finite Integrals Involving the Hypergeometric Functions and H-Function With Applications

- Mathematics
- 2013

The aim of this paper is to evaluate four finite double integrals involving the product of two hypergeometric functions and H -function. At the end we give an application of our findings by…

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