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http://dx.doi.org/10.14317/jami.2022.205

INTEGRAL REPRESENTATION OF SOME BASIC K-HYPERGEOMETRIC FUNCTIONS  

ALI, ASAD (Department of Mathematics and Statistics, University of agriculture Faisalabad(38000))
IQBAL, MUHAMMAD ZAFAR (Department of Mathematics and Statistics, University of agriculture Faisalabad(38000))
Publication Information
Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 205-213 More about this Journal
Abstract
In this paper we give a simple and direct proof of an Euler integral representation for a special class of q+1Fq,k k-hypergeometric functions for q ≥ 2. The values of certain 3F2,k and 4F3,k functions at $x=\frac{1}{k}$, some of which can be derived using other methods. We may conclude that for k = 1 the results are reduced to [3].
Keywords
Hypergeometric function; k-hypergeometric function; k-gamma function; k-beta function and k-pochhammer symbol;
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