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Q-Hermite polynomials and classical orthogonal polynomials

经典分析与常微分方程 2016-09-06 v1

摘要

We use generating functions to express orthogonality relations in the form of qq-beta integrals. The integrand of such a qq-beta integral is then used as a weight function for a new set of orthogonal or biorthogonal

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引用

@article{arxiv.math/9405213,
  title  = {Q-Hermite polynomials and classical orthogonal polynomials},
  author = {Christian Berg and Mourad E. H. Ismail},
  journal= {arXiv preprint arXiv:math/9405213},
  year   = {2016}
}