Irrationality proof of certain Lambert series using little q-Jacobi polynomials

  • Authors:

  • J. Coussement;C. Smet

  • Affiliations:

  • Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, 3001 Leuven, Belgium;Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, 3001 Leuven, Belgium

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2009

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Abstract

We apply the Pade technique to find rational approximations to h^+/-(q"1,q"2)=@?k=1~q"1^k1+/-q"2^k,0