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On an integral transform of the Mellin type

โœ Scribed by D. Naylor


Publisher
Springer
Year
1980
Tongue
English
Weight
295 KB
Volume
14
Category
Article
ISSN
0022-0833

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โœฆ Synopsis


This paper establishes an inversion formula for an integral transform of the Mellin type which is defined on a ~uncated infinite interval 0 < a < r < ~ and which is associated with a radiation type boundary condition at r=a.

Mellin type transform associated with this boundary value has been proposed by Jain [2] who, in our notation, introduces the transform F(u) defined by the equation

(3)

In this formula h is a constant which may be complex.

Jain gives the following formula of inversion to be associated with (3);


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