SOME SPECIAL FUNCTIONS IDENTITIES ARISING FROM COMMUTING OPERATORS

被引：0

作者：

Hutnikova, Maria ^{[1
]}

Hutnik, Ondrej ^{[2
]}

机构：

[1] Tech Univ Kosice, Dept Phys, Fac Elect Engn & Informat, Kosice 04200, Slovakia

[2] Safarik Univ, Fac Sci, Inst Math, Kosice 04154, Slovakia

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2009年 / 63卷 / 02期

关键词：

commuting operators; Hardy-type operator; special functions; integral and differential identities; DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/S0034-4877(09)90002-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Commuting is an important property in many cases of investigation of properties of operators as well as in various applications, especially in quantum physics. Using the observation that the generalized weighted differential operator of order k and the weighted Hardy-type operator commute we derive a number of new and interesting identities involving some functions of mathematical physics.

引用

页码：251 / 262

页数：12

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