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Special Functions

  • Marin MarinEmail author
  • Andreas Öchsner
Chapter
  • 563 Downloads

Abstract

Consider the semi-plane \(\Delta _0=\{z\in C,\;z=x+iy:x>0\}\). The complex function \(\Gamma :\Delta _0\rightarrow C\) defined by
$$ \Gamma (z)=\int \limits _{0}^{\infty }t^{z-1}e^{-t}\mathrm {d}t, $$
is called the Euler’s function of first species.

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Computer ScienceTransilvania University of BrasovBrasovRomania
  2. 2.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingen am NeckarGermany

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