Uniform asymptotic expansions of the Pollaczek polynomials

  • Authors:
  • Yu-Qiu Zhao;Jian-Rong Zhou

  • Affiliations:
  • Department of Mathematics, ZhongShan University, GuangZhou 510275, PR China;Department of Mathematics, ZhongShan University, GuangZhou 510275, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2006

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Abstract

Two uniform asymptotic expansions are obtained for the Pollaczek polynomials P"n(cos@q;a,b). One is for @q@?(0,@d/n], 0