A class of orthogonal polynomials related to the generalized Laguerre weight with two parameters

被引：2

作者：

Rajkovic, Predrag M. ^{[1
]}

Marinkovic, Sladjana D. ^{[2
]}

Petkovic, Marko D. ^{[3
]}

机构：

[1] Univ Nis, Fac Mech Engn, Nish, Serbia

[2] Univ Nis, Fac Elect Engn, Nish, Serbia

[3] Univ Nis, Fac Sci & Math, Nish, Serbia

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 01期

关键词：

Orthogonal polynomials; Error function; Quadrature;

D O I：

10.1007/s40314-019-0783-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a sequence of polynomials orthogonal with respect to the weight function, which appears in the error statistics in high speed optical fiber communication systems. Computation of these integrals by classical approach shows unexpectedly dubious accuracy. That is why we had to construct the new quadratures, to get more reliable results in our applications. Numerical procedure for quadrature construction is considered and its stability is discussed in detail.

引用

页数：14

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