Some special functions identities arising from commuting operators

Details Some special functions identities arising from commuting operators Some special functions identities arising from commuting operators

2008-06-03

arxiv.org/abs/0806.0542v2

Rep. Math. Phys. 63(2) (2009), 251-262

Mathematics

Classical Analysis and ODEs

12 pages

Scientific paper

10.1016/S0034-4877(09)90002-7

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.

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