ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Spectral Characteristics Of Multiplication, Differentiation And Integration Operators In The Generalized Laguerre Basis


Konstantin A. Rybakov

Moscow aviation institute (national research university),
Mathematical cybernetics department, associate professor
associate professor, candidate of physico-mathematical sciences


In this paper we consider generalized Laguerre functions. Recurrent expressions of its derivatives and primitives are obtained. Calculating algorithms of spectral characteristics for multiplication, differentiation, and integration operators and different examples are given.

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