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On a modification of Wong´s asymptotic expansion of the Kontorovich–Lebedev transform
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Derek Naylor
Published/Copyright:
July 26, 2010
Abstract
An asymptotic expansion valid for largepositive values of x is constructed for the Kontorovich–Lebedev transform f(x) = 2/π2∫0∞s sinh(sπ)Kis(x)F(s)ds where Kis(x) denotes the MacDonald type Bessel function of imaginary order. The paper obtains the modifications necessary to an asymptotic expansion of the above transform obtained by Wong (1981) when the latter is inapplicable because certain so called “moments” of the function F(s) sinh(sπ) vanish.
Keywords: asymptote expansions; integral transforms
Published Online: 2010-07-26
Published in Print: 2010-07
© by Oldenbourg Wissenschaftsverlag, London, Ontario N6G 2K5, Germany
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Articles in the same Issue
- On a modification of Wong´s asymptotic expansion of the Kontorovich–Lebedev transform
- Regularity results for generalized electro-magnetic problems
- Neck pinching for periodic mean curvature flows
- Zur Regularität von drei Integralen im Hilbertraum
- Generalized radon transform on the sphere
- Local behavior of smooth functions for the energy Laplacian on the Sierpinski gasket
- On the existence of para-orthogonal rational functions on the unit circle
