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Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function

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In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas,… Click to show full abstract

In this paper, a new confluent hypergeometric gamma function and an associated confluent hypergeometric Pochhammer symbol are introduced. We discuss some properties, for instance, their different integral representations, derivative formulas, and generating function relations. Different special cases are also considered.

Keywords: function; properties applications; confluent hypergeometric; gamma function

Journal Title: Journal of Mathematics
Year Published: 2021

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