New Generalized Bessel Transform and Its Relationship to the Fourier, Watson, and Kontorowich-Lebedev Transforms
- 1 February 1971
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (2), 179-185
- https://doi.org/10.1063/1.1665573
Abstract
A generalized Bessel transform is postulated, and the corresponding inversion formula is deduced. This transform is used to show the direct relationship between the Fourier, Watson, and Kontorowich‐Lebedev transforms. Thus, solutions of a certain class of boundary value problems can be expressed in terms of a single Bessel transform. Furthermore, the curvature of the boundary may range from zero to infinity.Keywords
This publication has 3 references indexed in Scilit:
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