• Relative extrema of Legendre functions of the second kind

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/100/01/0001-0008

    • 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

© 2017-2019 Indian Academy of Sciences, Bengaluru.