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Zbl 0741.33002
Apelblat, Alexander
Integral representation of Kelvin functions and their derivatives with respect to the order. (English)
[J] Z. Angew. Math. Phys. 42, No.5, 708-714 (1991). ISSN 0044-2275; ISSN 1420-9039/e

Integral representations of the Kelvin functions $\hbox{ber}\sb \nu x$ and $\hbox{bei}\sb \nu x$ and their derivatives with respect to the order are considered. Using the Laplace transform technique the derivatives are expressed in terms of finite integrals. The Kelvin functions $\hbox{ber}\sb{n+1/2}x$ and $\hbox{bei}\sb{n+1/2}x$ can be presented in a closed form.
[H.Köditz (Hannover)]

MSC 2000:: *33C10 Cylinder functions, etc.

Keywords: Kelvin functions

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