Integral Estimates for Laguerre Polynomials with Exponential Weight Function

被引：1

作者：

Gadzhimirzaev, R. M. ^{[1
]}

机构：

[1] Russian Acad Sci, Dagestan Fed Res Ctr, 45 M Gadjieva Str, Makhachkala 367000, Russia

来源：

RUSSIAN MATHEMATICS | 2020年 / 64卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Laguerre polynomial; Laguerre function; asymptotics;

D O I：

10.3103/S1066369X20040027

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the system of functions lambda(1+n)(x) generated by the system of Laguerre functions. We express functions lambda(1+n)(x) in terms of Laguerre polynomials Ln alpha(x)\do{document}. Using the obtained representations and asymptotic formulas for polynomials Ln alpha(x)\documentclass[12pt], we study the behavior of functions lambda(1+n)(x) on [0,infinity) with n ->infinity and deduce estimates analogous to those for Laguerre functions.

引用

页码：12 / 20

页数：9