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Products of incomplete gamma functions

  • Rami AlAhmad EMAIL logo
Published/Copyright: October 13, 2015

Abstract

Many properties of gamma functions are known. In this paper, we extend similar properties to incomplete gamma functions. In particular, it is known that Γ(1-a)Γ(a)=πcsc(πa). In this paper we find similar results for products of incomplete gamma functions. Since the error functions are a special case of the incomplete gamma functions, we extend these results to these functions. Also, we prove an interesting relation between the error functions and the Laplace transform.

MSC 2010: 33B20

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Received: 2015-2-4
Revised: 2015-9-3
Accepted: 2015-10-5
Published Online: 2015-10-13
Published in Print: 2016-8-1

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