Multiple little q-Jacobi polynomials

  • Authors:

  • Kelly Postelmans;Walter Van Assche

  • Affiliations:

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

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue: Proceedings of the seventh international symposium on Orthogonal polynomials, special functions and applications
  • Year:
  • 2005

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Abstract

We introduce two kinds of multiple little q-Jacobi polynomials p"n"@? with multi-index n@?=(n"1,n"2,...,n"r) and degree |n@?|=n"1+n"2+...+n"r by imposing orthogonality conditions with respect to r discrete little q-Jacobi measures on the exponential lattice {q^k,k=0,1,2,3,...}, where 0