English

A note on $\mathfrak{su}(2)$ models and the biorthogonality of generating functions of Krawtchouk polynomials

Representation Theory 2021-04-06 v1

Abstract

Eigenvalue problems on irreducible su(2)\mathfrak{su}(2) modules and their adjoints are considered in the Bargmann, Barut-Girardello and finite difference models. The biorthogonality relations that arise between the corresponding generating functions of the Krawtchouk polynomials are sorted out. A link with Pad\'e approximation is made.

Keywords

Cite

@article{arxiv.2104.01430,
  title  = {A note on $\mathfrak{su}(2)$ models and the biorthogonality of generating functions of Krawtchouk polynomials},
  author = {Luc Vinet and Alexei Zhedanov},
  journal= {arXiv preprint arXiv:2104.01430},
  year   = {2021}
}

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14 pages