MEHLER-HEINE FORMULAS FOR ORTHOGONAL POLYNOMIALS WITH RESPECT TO THE MODIFIED JACOBI WEIGHT

被引：4

作者：

Fejzullahu, Bujar Xh ^{[1
]}

机构：

[1] Univ Prishtina, Fac Math & Sci, Prishtine 10000, Kosove, Kosovo

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 06期

关键词：

Orthogonal polynomials; ladder operator; Mehler-Heine formulas; RECURRENCE COEFFICIENTS; ASYMPTOTIC-BEHAVIOR;

D O I：

10.1090/S0002-9939-2014-11976-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the ladder operator approach has been applied to deduce the Mehler-Heine type formulas for orthogonal polynomials with respect to the modified Jacobi weight omega(alpha,beta,h)(x) = h(x)(1 - x)(alpha)(1 + x)(beta), x is an element of [-1, 1], where alpha,beta > 0, and with h real analytic and strictly positive on [-1, 1].

引用

页码：2035 / 2045

页数：11

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