Geodesic
An Explicit Example of Polynomials Orthogonal on the Unit Circle with a Dense Point Spectrum Generated by a Geometric Distribution
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: polynomials orthogonal on the unit circle, wrapped geometric dustribution, dense point spectrum. 
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     author = {Alexei Zhedanov},
     title = {An {Explicit} {Example} of {Polynomials} {Orthogonal} on the {Unit} {Circle} with a {Dense} {Point} {Spectrum} {Generated} by a {Geometric} {Distribution}},
     journal = {Symmetry, integrability and geometry: methods and applications},
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     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a139/}
}
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Alexei Zhedanov. An Explicit Example of Polynomials Orthogonal on the Unit Circle with a Dense Point Spectrum Generated by a Geometric Distribution. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a139/

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