# A Further Extension for Ramanujan’s Beta Integral and Applications

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College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing Higher Education Mega Center, Huxi Campus, Chongqing 401331, China

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Department of Mathematics, Chongqing Normal University, Chongqing Higher Education Mega Center, Huxi Campus, Chongqing 401331, China

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Author to whom correspondence should be addressed.

Received: 26 December 2018 / Revised: 19 January 2019 / Accepted: 21 January 2019 / Published: 23 January 2019

(This article belongs to the Special Issue Special Functions and Applications)

# Abstract

In 1915, Ramanujan stated the following formula*Keywords:*

*q*-series;

*q*-exponential operator;

*q*-binomial theorem;

*q*-Gauss formula;

*q*-gamma function; gamma function; Ramanujan’s beta integral

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**MDPI and ACS Style**

Xi, G.-W.; Luo, Q.-M. A Further Extension for Ramanujan’s Beta Integral and Applications. *Mathematics* **2019**, *7*, 118.

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