## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2014 (2014), Article ID 735946, 7 pages.

### Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions

Junesang Choi and Praveen Agarwal

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#### Abstract

A remarkably large number of integral transforms and fractional integral formulas involving various special functions have been investigated by many authors. Very recently, Agarwal gave some integral transforms and fractional integral formulas involving the ${F}_{p}^{(\alpha ,\beta )}$ $(\xb7)$. In this sequel, using the same technique, we establish certain integral transforms and fractional integral formulas for the generalized Gauss hypergeometric functions ${F}_{p}^{(\alpha ,\beta ,m)}$ $(\xb7)$. Some interesting special cases of our main results are also considered.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2014 (2014), Article ID 735946, 7 pages.

**Dates**

First available in Project Euclid: 2 October 2014

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1412278549

**Digital Object Identifier**

doi:10.1155/2014/735946

**Mathematical Reviews number (MathSciNet)**

MR3226228

**Zentralblatt MATH identifier**

07022978

#### Citation

Choi, Junesang; Agarwal, Praveen. Certain Integral Transform and Fractional Integral Formulas for the Generalized Gauss Hypergeometric Functions. Abstr. Appl. Anal. 2014 (2014), Article ID 735946, 7 pages. doi:10.1155/2014/735946. https://projecteuclid.org/euclid.aaa/1412278549

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