engleski

Second type Neumann series of generalized Nicholson function

The second type Neumann series are considered whose building blocks are generalized Nicholson's functions B_\nu^p(x) = J_\nu^p(x)+ Y_\nu^p(x), being J_\nu, Y_\nu Bessel functions of the first and second kind of order \nu, p \geq 2 integer. Closed form definite integral expressions are obtained for such series with the aid of the associated Dirichlet series' Cahen's Laplace integral form.

Bessel functions of the first and second kind ; Modified Bessel function of the second kind ; Nicholson function ; Neumann series of Bessel functions ; Cahen's Laplace integral formula

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