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Zbl 0854.41028
Naylor, D.
On an asymptotic expansion of the Kontorovich-Lebedev transform.
(English)
[J] Methods Appl. Anal. 3, No.1, 98-108 (1996). ISSN 1073-2772

Summary: An asymptotic expansion valid for large positive values of $s$ is constructed for the integral transform $$F(s)= \int^\infty_0 K_{is} (x) f(x) {dx \over x},$$ where $K_{is} (x)$ denotes the modified Bessel function of the third kind of purely imaginary order.
MSC 2000:
*41A60 Asymptotic problems in approximation
44A15 Special transforms
33C10 Cylinder functions, etc.

Keywords: modified Bessel function

Cited in: Zbl 0960.41022

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