## Abstract and Applied Analysis

### Some Properties of the $q$-Extension of the $p$-Adic Gamma Function

#### Abstract

We study the $q$-extension of the $p$-adic gamma function ${\mathrm{\Gamma }}_{p,q}$. We give a new identity for the $q$-extension of the $p$-adic gamma ${\mathrm{\Gamma }}_{p,q}$ in the case $p=2$. Also, we derive some properties and new representations of the $q$-extension of the $p$-adic gamma ${\mathrm{\Gamma }}_{p,q}$ in general case.

#### Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 176470, 4 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511773

Digital Object Identifier
doi:10.1155/2013/176470

Mathematical Reviews number (MathSciNet)
MR3035284

Zentralblatt MATH identifier
1277.33016

#### Citation

Menken, Hamza; Körükçü, Adviye. Some Properties of the $q$ -Extension of the $p$ -Adic Gamma Function. Abstr. Appl. Anal. 2013 (2013), Article ID 176470, 4 pages. doi:10.1155/2013/176470. https://projecteuclid.org/euclid.aaa/1393511773

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