Relativistic Jacobi polynomials

被引：1

作者：

He, MX ^{[1
]}

Natalini, P

机构：

[1] Nova SE Univ, Dept Math, Ft Lauderdale, FL 33314 USA

[2] Univ Rome La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 1999年 / 8卷 / 1-2期

关键词：

orthogonal polynomials; generalized hypergeometric-type polynomials; hypergeometric functions;

D O I：

10.1080/10652469908819215

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new polynomials set, of generalized hypergeometric type, is defined. These polynomials, called relativistic Jacobi polynomials (RJP) and denoted by {P-n(alpha,beta;N)(x)}(n=0)(infinity), represent an extension of the classical Jacobi orthogonal polynomials in the sense that they reduce to the latter in the non-relativistic limit (N --> infinity). 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.

引用

页码：43 / 56

页数：14