[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c170355

A MODIFIED POLYNOMIAL SEQUENCE OF THE CHEBYSHEV POLYNOMIALS OF THE SECOND KIND

Kim, Seon-Hong (Department of Mathematics Sookmyung Women's University)

Publication Information

Communications of the Korean Mathematical Society / v.34, no.2, 2019 , pp. 429-437 More about this Journal

Abstract

Dilcher and Stolarsky [1] recently studied a sequence resembling the Chebyshev polynomials of the first kind. In this paper, we follow their some research directions to the Chebyshev polynomials of the second kind. More specifically, we consider a sequence resembling the Chebyshev polynomials of the second kind in two different ways, and investigate its properties including relations between this sequence and the sequence studied in [1], zero distribution and the irreducibility.

Keywords

Chebyshev polynomials of the second kind; recurrence relations; zeros;

Citations & Related Records

Reference

1	K. Dilcher and K. B. Stolarsky, Nonlinear recurrences related to Chebyshev polynomials, Ramanujan J. 41 (2016), no. 1-3, 147-169. DOI
2	J. C. Mason and D. C. Handscomb, Chebyshev Polynomials, Chapman & Hall/CRC, Boca Raton, FL, 2003.
3	T. J. Rivlin, Chebyshev Polynomials, second edition, Pure and Applied Mathematics (New York), John Wiley & Sons, Inc., New York, 1990.