Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:82

Article; Proceedings Paper

Chen, Y ; Ismail, MEH

关键词: zeros;    asymptotics;    chain sequences;    inequalities;    Coulomb fluid method;    Meixner polynomials;   

DOI  :  10.1016/S0377-0427(97)00093-9

来源: Elsevier

【 摘 要 】

We study the asymptotics of the smallest and largest zeros of the symmetric and asymmetric Meixner-Pollaczek polynomials using two techniques. One is a Coulomb fluid technique developed earlier where the primary input is the weight function. The second uses the method of chain sequences which supplies inequalities for the largest zeros from the knowledge of the recurrence coefficients. An upper bound for the largest zero of Meixner polynomials is also given.

【 授权许可】

Free