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

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 ${}_2{\varphi }_1$. The orthogonality measure is the wrapped geometric distribution. Some "classical" properties of the above polynomials are presented.

9 pages, 27 refernces

References in corpus (1)

• Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle