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Asymptotics of extreme zeros of the Meixner-Pollaczek polynomials

✍ Scribed by Yang Chen; Mourad E.H. Ismail

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 845 KB
Volume: 82
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(97)00093-9

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✦ Synopsis

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.

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