Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials

  • George Gasper
  • Mizan Rahman
Part of the Developments in Mathematics book series (DEVM, volume 13)


In 1991 Tratnik derived two systems of multivariable orthogonal Wilson polynomials and considered their limit cases. q-Analogues of these systems are derived, yielding systems of multivariable orthogonal Askey-Wilson polynomials and their special and limit cases.


Orthogonal Polynomial Orthogonality Relation Basic Hypergeometric Series Jack Polynomial Wilson Polynomial 
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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • George Gasper
    • 1
  • Mizan Rahman
    • 2
  1. 1.Department of MathematicsNorthwestern UniversityEvanston
  2. 2.School of Mathematics and StatisticsCarleton UniversityOttawaCanada

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