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Integral representation of first kind Kapteyn series (CROSBI ID 170785)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Baricz, Arpad ; Jankov, Dragana ; Poganj, Tibor Integral representation of first kind Kapteyn series // Journal of mathematical physics, 52 (2011), 4; 043518-1-043518-7. doi: 10.1063/1.3579989

Podaci o odgovornosti

Baricz, Arpad ; Jankov, Dragana ; Poganj, Tibor

engleski

Integral representation of first kind Kapteyn series

The main aim of this research note is to establish two different types of integral representation formulae for the Kapteyn series of the first kind. The first one is a double definite integral expression, while the second type includes indefinite integral representation formula.

Kapteyn series of Bessel functions; Bessel functions of the first and second kind; nonhomogeneous Bessel differential equation; Integral representation; Dirichlet series; Laplace integral expression of Dirichlet series.

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Podaci o izdanju

52 (4)

2011.

043518-1-043518-7

objavljeno

0022-2488

10.1063/1.3579989

Povezanost rada

Matematika

Poveznice
Indeksiranost