Author(s)

Asifa Tassaddiq^*, Rabia Safdar, Tahira Kanwal

Department of Mathematics, Government College University, Faisalabad, Pakistan.

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.

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

Tassaddiq, A. , Safdar, R. and Kanwal, T. (2017) A Distributional Representation of Gamma Function with Generalized Complex Domian. Advances in Pure Mathematics, 7, 441-449. doi: 10.4236/apm.2017.78029.