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has been cited by the following article:

• TITLE: A Distributional Representation of Gamma Function with Generalized Complex Domian

  AUTHORS: Asifa Tassaddiq, Rabia Safdar, Tahira Kanwal

  KEYWORDS: Gamma Function, Distributions or Generalized Functions, Fourier Transform, Dirac Delta Function, Space of Complex Test Functions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.7 No.8, August 24, 2017

  ABSTRACT: 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.