Preprint Article Version 1 This version is not peer-reviewed

Miscellaneous Properties of the Gamma Distribution Polynomials

Version 1 : Received: 19 August 2019 / Approved: 20 August 2019 / Online: 20 August 2019 (11:08:39 CEST)

How to cite: Duran, U.; Acikgoz, M. Miscellaneous Properties of the Gamma Distribution Polynomials. Preprints 2019, 2019080212 (doi: 10.20944/preprints201908.0212.v1). Duran, U.; Acikgoz, M. Miscellaneous Properties of the Gamma Distribution Polynomials. Preprints 2019, 2019080212 (doi: 10.20944/preprints201908.0212.v1).

Abstract

The main aim of this paper is to investigate multifarious properties and relations for the gamma distribution. The approach to reach this purpose will be introducing a special polynomial including gamma distribution. Several formulas covering addition formula, derivative property, integral representation and explicit formula are derived by means of the series manipulation method. Furthermore, two correlations including Bernoulli and Euler polynomials for gamma distribution polynomials are provided by utilizing of their generating functions.

Subject Areas

Special polynomials; gamma distribution; Cauchy product; generating function; Bernoulli polynomials; Euler polynomials.

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