Journal article
A Class of Integral Transforms
Proceedings of the Edinburgh Mathematical Society, v 14(1), pp 33-40
Jun 1964
Abstract
In this paper we discuss a new class of integral transforms and their inversion formula. The kernel in the transform is a G-function (for a treatment of this function, see ((1), 5.3) and integration is performed with respect to the argument of that function. In the inversion formula, the kernel is likewise a G-function, but there integration is performed with respect to a parameter. Known special cases of our results are the Kontorovitch-Lebedev transform pair ((2), v. 2; (3)) and the generalised Mehler transform pair (7) These transforms are used in solving certain boundary value problems of the wave or heat conduction equation involving wedge or conically-shaped boundaries, and are extensively tabulated in (6).
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Details
- Title
- A Class of Integral Transforms
- Creators
- Jet Wimp - MRIGlobal
- Publication Details
- Proceedings of the Edinburgh Mathematical Society, v 14(1), pp 33-40
- Publisher
- Cambridge University Press
- Number of pages
- 8
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Scopus ID
- 2-s2.0-0003111559
- Other Identifier
- 991021879784804721