Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters

Jun Wang; Weiyuan Qiu; Roderick Wong

doi:10.1016/j.crma.2011.08.020

Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters

Jun Wang
, Weiyuan Qiu
, Roderick Wong

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

In this Note, we study the uniform asymptotics of the Meixner-Pollaczek polynomials P_n^(λn)(z;φ) with varying parameter λn=(n+1/2)A as n→ ∞, where A>. 0 is a constant. Uniform asymptotic expansions in terms of parabolic cylinder functions and elementary functions are obtained for z in two overlapping regions which together cover the whole complex plane. © 2011 Académie des sciences.

Original language	English
Pages (from-to)	1031-1035
Journal	Comptes Rendus Mathematique
Volume	349
Issue number	19-20
DOIs	https://doi.org/10.1016/j.crma.2011.08.020
Publication status	Published - Nov 2011

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title = "Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters",

abstract = "In this Note, we study the uniform asymptotics of the Meixner-Pollaczek polynomials Pn(λn)(z;φ) with varying parameter λn=(n+1/2)A as n→ ∞, where A>. 0 is a constant. Uniform asymptotic expansions in terms of parabolic cylinder functions and elementary functions are obtained for z in two overlapping regions which together cover the whole complex plane. {\textcopyright} 2011 Acad{\'e}mie des sciences.",

author = "Jun Wang and Weiyuan Qiu and Roderick Wong",

year = "2011",

month = nov,

doi = "10.1016/j.crma.2011.08.020",

language = "English",

volume = "349",

pages = "1031--1035",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

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T1 - Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters

AU - Wang, Jun

AU - Qiu, Weiyuan

AU - Wong, Roderick

PY - 2011/11

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N2 - In this Note, we study the uniform asymptotics of the Meixner-Pollaczek polynomials Pn(λn)(z;φ) with varying parameter λn=(n+1/2)A as n→ ∞, where A>. 0 is a constant. Uniform asymptotic expansions in terms of parabolic cylinder functions and elementary functions are obtained for z in two overlapping regions which together cover the whole complex plane. © 2011 Académie des sciences.

AB - In this Note, we study the uniform asymptotics of the Meixner-Pollaczek polynomials Pn(λn)(z;φ) with varying parameter λn=(n+1/2)A as n→ ∞, where A>. 0 is a constant. Uniform asymptotic expansions in terms of parabolic cylinder functions and elementary functions are obtained for z in two overlapping regions which together cover the whole complex plane. © 2011 Académie des sciences.

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-80054046441&origin=recordpage

U2 - 10.1016/j.crma.2011.08.020

DO - 10.1016/j.crma.2011.08.020

M3 - RGC 21 - Publication in refereed journal

SN - 1631-073X

VL - 349

SP - 1031

EP - 1035

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 19-20

ER -

Uniform asymptotics for Meixner-Pollaczek polynomials with varying parameters

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