• Relative extrema of Legendre functions of the second kind

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    • Keywords


      Inequalities; monotonicity; Legendre functions of the second kind

    • Abstract


      Let μk,n denote the relative maxima of ⋎Qn(x)⋎, the Legendre function of the second kind, ordered so that μk+1,n occurs to the left of μk,n. They by analogy with a theorem of Szegö for Legendre polynomials, μk,n+1<μk,n,k=1,...,n,n=1,2,...

    • Author Affiliations


      Richard Askey1

      1. Mathematics Department, University of Wisconsin-Madison, Van Vleck Hall, 480 Lincoln Drive, Madison, Wisconsin - 53706, USA
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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