Linear combinations of polynomials with three-term recurrence

Title

Linear combinations of polynomials with three-term recurrence

Description

We study the zero distribution of the sum of the first n polynomials satisfying a three-term recurrence whose coefficients are linear polynomials. We also extend this sum to a linear combination, whose coefficients are powers of az + b for a, b ∈ R, of Chebyshev polynomials. In particular, we find necessary and sufficient conditions on a, b such that this linear combination is hyperbolic.

Fresno State author

Khang Tran

Department

Mathematics

Format

article

Full text

https://doi.org/10.2298/PIM2124029T

Citation Info

Tran, K., & Zhang, M. (2021). Linear combinations of polynomials with three-term recurrence. Publications de l’Institut Mathematique, 110(124), 29–40. https://doi.org/10.2298/PIM2124029T

Files

Khang, Tran, Linear Combinations of Polynomials-1.jpg

Citation

“Linear combinations of polynomials with three-term recurrence,” Outstanding Faculty Publications, accessed November 21, 2024, https://facpub.library.fresnostate.edu/items/show/299.