Zeros' Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights

Matthew He; P. E. Ricci; P. Natalini

Zeros' Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights

Matthew He
, P. E. Ricci
, P. Natalini

Research output: Contribution to journal › Article › peer-review

Abstract

By using the WKB method, we found the asymptotic distribution of the zeros of some sets of polynomials orthogonal with respect to varying weights, including the so called relativistic orthogonal polynomials.

Original language	American English
Pages (from-to)	82-89
Journal	Memoirs on Differential Equations and Mathematical Physics
Volume	12
State	Published - Jan 1 1997

Keywords

Hypergeometric differential equations
Polynomials orthogonal with respect to varying weights
Relativistic polynomials
WKB approximation
Zero's distribution

Disciplines

Mathematics

Cite this

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title = "Zeros' Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights",

abstract = "By using the WKB method, we found the asymptotic distribution of the zeros of some sets of polynomials orthogonal with respect to varying weights, including the so called relativistic orthogonal polynomials.",

keywords = "Hypergeometric differential equations, Polynomials orthogonal with respect to varying weights, Relativistic polynomials, WKB approximation, Zero's distribution",

author = "Matthew He and Ricci, \{P. E.\} and P. Natalini",

year = "1997",

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day = "1",

language = "American English",

volume = "12",

pages = "82--89",

journal = "Memoirs on Differential Equations and Mathematical Physics",

issn = "1512-0015",

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T1 - Zeros' Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights

AU - He, Matthew

AU - Ricci, P. E.

AU - Natalini, P.

PY - 1997/1/1

Y1 - 1997/1/1

N2 - By using the WKB method, we found the asymptotic distribution of the zeros of some sets of polynomials orthogonal with respect to varying weights, including the so called relativistic orthogonal polynomials.

AB - By using the WKB method, we found the asymptotic distribution of the zeros of some sets of polynomials orthogonal with respect to varying weights, including the so called relativistic orthogonal polynomials.

KW - Hypergeometric differential equations

KW - Polynomials orthogonal with respect to varying weights

KW - Relativistic polynomials

KW - WKB approximation

KW - Zero's distribution

UR - https://nsuworks.nova.edu/math_facarticles/185

M3 - Article

SN - 1512-0015

VL - 12

SP - 82

EP - 89

JO - Memoirs on Differential Equations and Mathematical Physics

JF - Memoirs on Differential Equations and Mathematical Physics

ER -

Zeros' Asymptotic Distribution of Polynomials Orthogonal with Respect to Varying Weights

Abstract

Keywords

Disciplines

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