A Distributional Representation of Gamma Function with Generalized Complex Domian

作     者：Asifa Tassaddiq Rabia Safdar Tahira Kanwal 

作者机构：Department of Mathematics Government College University Faisalabad Pakistan 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2017年第7卷第8期

页      面：441-449页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Gamma Function Distributions or Generalized Functions Fourier Transform Dirac Delta Function Space of Complex Test Functions 

摘      要：In this paper, we present a new representation of gamma function as a series of complex delta functions. We establish the convergence of this representation in the sense of distributions. It turns out that the gamma function can be defined over a space of complex test functions of slow growth denoted by Z. Some properties of gamma function are discussed by using the properties of delta function.