Relativistic Jacobi Polynomials

Matthew He; P. Natalini

doi:10.1080/10652469908819215

Relativistic Jacobi Polynomials

Matthew He
, P. Natalini

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

Abstract

A new polynomials set, of generalized hypergeometric type, is defined. These polynomials, called relativistic Jacobi polynomials (RJP) and denoted by

represent an extension of the classical Jacobi orthogonal polynomials in the sense that they reduce to the latter in the non-relativistic limit ( N → ∞). Some basic properties of these polynomials, as well as for the RHP (see [6] and [7]) and the RLP (see [2] and [3]), are derived.

Original language	American English
Pages (from-to)	43-56
Journal	Integral Transforms and Special Functions
Volume	8
Issue number	1-2
DOIs	https://doi.org/10.1080/10652469908819215
State	Published - Jan 1 1999

Keywords

Generalized hypergeometric-type polynomials
Hypergeometric functions
Orthogonal polynomials

Disciplines

Mathematics

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10.1080/10652469908819215License: Unspecified

Cite this

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title = "Relativistic Jacobi Polynomials",

abstract = " A new polynomials set, of generalized hypergeometric type, is defined. These polynomials, called relativistic Jacobi polynomials (RJP) and denoted by represent an extension of the classical Jacobi orthogonal polynomials in the sense that they reduce to the latter in the non-relativistic limit ( N → ∞). Some basic properties of these polynomials, as well as for the RHP (see [6] and [7]) and the RLP (see [2] and [3]), are derived.",

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author = "Matthew He and P. Natalini",

year = "1999",

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T1 - Relativistic Jacobi Polynomials

AU - He, Matthew

AU - Natalini, P.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - A new polynomials set, of generalized hypergeometric type, is defined. These polynomials, called relativistic Jacobi polynomials (RJP) and denoted by represent an extension of the classical Jacobi orthogonal polynomials in the sense that they reduce to the latter in the non-relativistic limit ( N → ∞). Some basic properties of these polynomials, as well as for the RHP (see [6] and [7]) and the RLP (see [2] and [3]), are derived.

AB - A new polynomials set, of generalized hypergeometric type, is defined. These polynomials, called relativistic Jacobi polynomials (RJP) and denoted by represent an extension of the classical Jacobi orthogonal polynomials in the sense that they reduce to the latter in the non-relativistic limit ( N → ∞). Some basic properties of these polynomials, as well as for the RHP (see [6] and [7]) and the RLP (see [2] and [3]), are derived.

KW - Generalized hypergeometric-type polynomials

KW - Hypergeometric functions

KW - Orthogonal polynomials

UR - https://nsuworks.nova.edu/math_facarticles/183

U2 - 10.1080/10652469908819215

DO - 10.1080/10652469908819215

M3 - Article

SN - 1065-2469

VL - 8

SP - 43

EP - 56

JO - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

IS - 1-2

ER -

Relativistic Jacobi Polynomials

Abstract

Keywords

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