• Title of article

    Asymptotics for some fundamental -functions

  • Author/Authors

    Zhang، نويسنده , , Ruiming، نويسنده ,

  • Issue Information
    دوهفته نامه با شماره پیاپی سال 2013
  • Pages
    8
  • From page
    285
  • To page
    292
  • Abstract
    In this work we derive asymptotic formulas for the q -exponential function e q ( z ) , q -gamma function Γ q ( z ) , and q -shifted factorial ( z ; q ) n as q approaches 1 without using theta functions or summation formulas. These asymptotics are valid uniformly on compact subsets of the complex plane.
  • Keywords
    q -gamma function ? q ( z ) , Asymptotics , q ) n , q -shifted factorial ( z , q -exponential e q ( z )
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Serial Year
    2013
  • Journal title
    Journal of Mathematical Analysis and Applications
  • Record number

    1563370