Convolution structure of the Bessel transform and the generalization of a theorem of Watson

F. Heymann; R. Lasser

doi:10.1080/10652460903255657

Convolution structure of the Bessel transform and the generalization of a theorem of Watson

F. Heymann
, R. Lasser

Helmholtz Zentrum München German Research Center for Environmental Health

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

For the Bessel integral transform (also called the Hankel transform), we derive Watson's theorem, generalizing the corresponding result for the Fourier-cosine-transform. Therefore, we derive numerous integral formulas for products of modified Bessel functions, which are necessary for the proof.

Original language	English
Pages (from-to)	319-326
Number of pages	8
Journal	Integral Transforms and Special Functions
Volume	21
Issue number	5
DOIs	https://doi.org/10.1080/10652460903255657
State	Published - May 2010
Externally published	Yes

Keywords

Bessel transform
Convolution structure
Integral transforms
Special functions

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10.1080/10652460903255657

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abstract = "For the Bessel integral transform (also called the Hankel transform), we derive Watson's theorem, generalizing the corresponding result for the Fourier-cosine-transform. Therefore, we derive numerous integral formulas for products of modified Bessel functions, which are necessary for the proof.",

keywords = "Bessel transform, Convolution structure, Integral transforms, Special functions",

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AU - Lasser, R.

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AB - For the Bessel integral transform (also called the Hankel transform), we derive Watson's theorem, generalizing the corresponding result for the Fourier-cosine-transform. Therefore, we derive numerous integral formulas for products of modified Bessel functions, which are necessary for the proof.

KW - Bessel transform

KW - Convolution structure

KW - Integral transforms

KW - Special functions

UR - https://www.scopus.com/pages/publications/77951158738

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DO - 10.1080/10652460903255657

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IS - 5

ER -

Convolution structure of the Bessel transform and the generalization of a theorem of Watson

Abstract

Keywords

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