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http://dx.doi.org/10.5666/KMJ.2018.58.1.67

Generalized Incomplete Pochhammer Symbols and Their Applications to Hypergeometric Functions  

Sahai, Vivek (Department of Mathematics and Astronomy, Lucknow University)
Verma, Ashish (Department of Mathematics and Astronomy, Lucknow University)
Publication Information
Kyungpook Mathematical Journal / v.58, no.1, 2018 , pp. 67-79 More about this Journal
Abstract
In this paper, we present new generalized incomplete Pochhammer symbols and using this we introduce the extended generalized incomplete hypergeometric functions. We derive certain properties, generating functions and reduction formulas of these extended generalized incomplete hypergeometric functions. Special cases of this extended generalized incomplete hypergeometric functions are also discussed.
Keywords
incomplete gamma functions; incomplete Pochhammer symbols; generalized incomplete hypergeometric functions; Generating functions;
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