Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function
Copyright policy )Properties and Applications of a New Extended Gamma Function Involving Confluent Hypergeometric Function
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.
- Hazara University Pakistan
- China Medical University Taiwan
- Prince Sattam Bin Abdulaziz University Saudi Arabia
- Kohat University of Science and Technology Pakistan
- China Medical University China (People's Republic of)
Confluent hypergeometric function, Social Sciences, Evolutionary biology, Orthogonal Polynomials, Classical hypergeometric functions, \({}_2F_1\), QA1-939, FOS: Mathematics, Hypergeometric function, Gamma, beta and polygamma functions, Biology, Algebra over a field, Applied Mathematics, Pure mathematics, General Social Sciences, Generalized hypergeometric function, Basic hypergeometric series, Function (biology), Gamma function, Physical Sciences, Multidisciplinary Research in Science and Society, Lauricella hypergeometric series, Hypergeometric function of a matrix argument, Mathematics, Hypergeometric Functions
Confluent hypergeometric function, Social Sciences, Evolutionary biology, Orthogonal Polynomials, Classical hypergeometric functions, \({}_2F_1\), QA1-939, FOS: Mathematics, Hypergeometric function, Gamma, beta and polygamma functions, Biology, Algebra over a field, Applied Mathematics, Pure mathematics, General Social Sciences, Generalized hypergeometric function, Basic hypergeometric series, Function (biology), Gamma function, Physical Sciences, Multidisciplinary Research in Science and Society, Lauricella hypergeometric series, Hypergeometric function of a matrix argument, Mathematics, Hypergeometric Functions
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