On the family of polynomials generated by a four-term recurrence relation
DOI:
https://doi.org/10.5540/03.2023.010.01.0078Keywords:
Even and odd polynomials, Four-term recurrence relation, ZerosAbstract
This paper investigates the distribution, simplicity, and monotonicity of the zeros of even and odd polynomials generated by a four-term recurrence relation and linear coefficients.
Downloads
References
R. Adams. “On hyperbolic polynomials with four-term recurrence and linear coefficients”. In: Calcolo 57 (2020). doi: 10.1007/s10092-020-00373-7.
T. S. Chihara. An introduction to orthogonal polynomials. New York: Gordon and Breach, 1978.
E. Fornazieri Filho. “Estudo sobre o comportamento de zeros de polinômios que satisfazem uma relação de recorrência de quatro termos”. Master dissertation. Universidade Estadual Paulista "Júlio de Mesquita Filho", 2023.
G. Szegő. Orthogonal Polynomials. Providence, RI: Colloquium Publications, American Mathematical Society, 1975.
K. Tran; A. Zumba. “Zeros of polynomials with four-term recurrence”. In: Involve a Journal of Mathematics (2018), pp. 501–518. doi: 10.2140/involve.2018.11.501.
K. Tran; A. Zumba. “Zeros of polynomials with four-term recurrence and linear coefficients”. In: Ramanujan Journal (2020). doi: 10.1007/s11139-020-00263-0.
