engleski

Integral representation of Schlömilch series

Certain integral representations are derived for the Schlömilch series of Bessel functions of the first kind $J_\nu$, using newly derived integral representation of first kind Kapteyn-type series.

Schlömilch series ; Kapteyn series ; Bessel functions of the first and second kind ; Nonhomogeneous Bessel differential equation ; Dirichlet series ; Laplace integral expression of Dirichlet series

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