A family of self-inversive polynomials with concyclic zeros

Kim, Eunmi

doi:10.1016/j.jmaa.2012.12.048

Search citation statements

Order By: Relevance

Paper Sections

Select...

Complex Self-reciprocal and Self-inversive Polynomials1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

Publication Types

Select...

Book1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Hypergeometric polynomials with all their zeros on S were considered in [51,52]. Kim [53] also obtained SI polynomials which are related to Jacobi polynomials. Ito & Wimmer [54] studied SI polynomial operators in Hilbert space whose spectrum is on S.…”

Section: Complex Self-reciprocal and Self-inversive Polynomialsmentioning

confidence: 99%

Polynomials with Symmetric Zeros

Vieira

2019

Polynomials - Theory and Application

View full text Add to dashboard Cite

Polynomials whose zeros are symmetric either to the real line or to the unit circle are very important in mathematics and physics. We can classify them into three main classes: the self-conjugate polynomials, whose zeros are symmetric to the real line; the self-inversive polynomials, whose zeros are symmetric to the unit circle; and the self-reciprocal polynomials, whose zeros are symmetric by an inversion with respect to the unit circle followed by a reflection in the real line. Real selfreciprocal polynomials are simultaneously self-conjugate and self-inversive so that their zeros are symmetric to both the real line and the unit circle. In this survey, we present a short review of these polynomials, focusing on the distribution of their zeros.

show abstract

Section: Complex Self-reciprocal and Self-inversive Polynomialsmentioning

confidence: 99%

Polynomials with Symmetric Zeros

Vieira

2019

Polynomials - Theory and Application

View full text Add to dashboard Cite

show abstract

A family of self-inversive polynomials with concyclic zeros

Cited by 1 publication

References 11 publications

Polynomials with Symmetric Zeros

Polynomials with Symmetric Zeros

Contact Info

Product

Resources

About