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arXiv · 2010.10321

An explicit example of polynomials orthogonal on the unit circle with a dense point spectrum generated by a geometric distribution

Alexei Zhedanov
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Abstract

We present a new explicit family of polynomials orthogonal on the unit circle with a dense point spectrum. This family is expressed in terms of q-hypergeometric function of type ${_2}\phi_1$. The orthogonality measure is the wrapped geometric distribution. Some "classical" properties of the above polynomials are presented.

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Alexei Zhedanov. 2020-10-20. An explicit example of polynomials orthogonal on the unit circle with a dense point spectrum generated by a geometric distribution. https://doi.org/10.3842/sigma.2020.140

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