Matrix-valued little q-Jacobi polynomials

نویسندگان

  • Noud Aldenhoven
  • Erik Koelink
  • Ana M. de los Ríos
چکیده

Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2 × 2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term recurrence relation and its relation to matrix-valued q-hypergeometric series and the scalar-valued little q-Jacobi polynomials are presented. The study is based on the matrix-valued q-difference operator, which is a q-analogue of Tirao’s matrix-valued hypergeometric differential operator.

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عنوان ژورنال:
  • Journal of Approximation Theory

دوره 193  شماره 

صفحات  -

تاریخ انتشار 2015