Basic hypergeometric polynomials with zeros on the unit circle

作者：Area I; Godoy E; Lamblem R L; Ranga A Sri^*

来源：Applied Mathematics and Computation, 2013, 225: 622-630.

DOI：10.1016/j.amc.2013.09.060

• Basic hypergeometric polynomials
• Zeros
• Orthogonal polynomials on the unit circle
• Self-inversive polynomials

The objective in this manuscript is to present two specific sequences of polynomials with elements given in terms of basic hypergeometric polynomials or q-hypergeometric polynomials. It is shown that the zeros of these polynomials are simple and that they lie exactly on the unit circle.

• 出版日期2013-12-1