A New Representation of the k-Gamma Functions
College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi Arabia
Received: 8 December 2018 / Revised: 16 January 2019 / Accepted: 19 January 2019 / Published: 1 February 2019
The products of the form
are of interest for a wide-ranging audience. In particular, they frequently arise in diverse situations, such as computation of Feynman integrals, combinatory of creation, annihilation operators and in fractional calculus. These expressions can be successfully applied for stated applications by using a mathematical notion of k-gamma functions. In this paper, we develop a new series representation of k-gamma functions in terms of delta functions. It led to a novel extension of the applicability of k-gamma functions that introduced them as distributions defined for a specific set of functions.
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MDPI and ACS Style
Tassaddiq, A. A New Representation of the k-Gamma Functions. Mathematics 2019, 7, 133.
Tassaddiq A. A New Representation of the k-Gamma Functions. Mathematics. 2019; 7(2):133.
Tassaddiq, Asifa. 2019. "A New Representation of the k-Gamma Functions." Mathematics 7, no. 2: 133.
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