A note on moment integrals and some applications
A note on moment integrals and some applications
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DOI：
10.1016/j.jmaa.2013.08.032
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发表时间：
2014-02
影响因子：
1.3
通讯作者：
Jianbing Cao
中科院分区：
文献类型：
--
作者：
Jianbing Cao
本文用变换的方法给出了两个矩积分。此外，利用矩积分得到了Sears变换的推广.利用矩积分得到了Rogers-Szegö多项式的q-Mehler公式。此外，还利用矩积分导出了三线性母函数的一个公开问题。最后，利用矩积分得到了U（n+ 1）型Kalnins-Miller变换的推广.
In this paper, two moment integrals are given by the method of transformation. In addition, generalizations of Searsʼs transformation are obtained by moment integrals. Moreover, certain q-Mehler formulas for Rogers–Szegö polynomials are gained by moment integrals. Besides, an open problem of trilinear generating function is deduced by moment integrals. At last, generalizations of U (n+ 1) type Kalnins–Miller transformation are achieved by moment integrals.