A NOTE ON THE HERMITE NUMBERS AND POLYNOMIALS

被引：2
|
作者：
Kim, Dae San [1 ]
Kim, Taekyun [2 ]
机构：
[1] Sogang Univ, Dept Math, Seoul, South Korea
[2] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2013年 / 16卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Hermite polynomials; Bernoulli polynomials; IDENTITIES;
D O I：
10.7153/mia-16-86
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we compute explicitly an integral involving the Hermite polynomials. From our computation, we derive the formula for a product of two Hermite polynomials. Finally, we give some interesting formulae for the product of two Hermite polynomials associated with Bernoulli polynomials like Carlitz did.
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页码：1115 / 1122
页数：8
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