Refined estimates on the growth rate of Jacobi polynomials

  • Authors:

  • Steven H. Izen

  • Affiliations:

  • Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106-7058, USA

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2007

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Abstract

The growth of the Jacobi polynomials P"n^(^k^,^@b^)(1-2@q^2) is studied as n and k are simultaneously increased along lines in the kn plane with n integral. In particular, we apply a correction to a result of Chen and Ismail to show that for 0~ when a2@q/(1-@q). For -1