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Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials

经典分析与常微分方程 2007-05-23 v1

摘要

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.

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引用

@article{arxiv.math/0410249,
  title  = {Some Systems of Multivariable Orthogonal Askey-Wilson Polynomials},
  author = {George Gasper and Mizan Rahman},
  journal= {arXiv preprint arXiv:math/0410249},
  year   = {2007}
}

备注

9 pages. To appear in Theory and Applications of Special Functions. A volume dedicated to Mizan Rahman, M. E. H. Ismail and E. Koelink, eds., Dev. Math., Kluwer Acad. Publ., Dordrecht