On an integral transform of the Mellin type

✍ Scribed by D. Naylor

• Publisher: Springer
• Year: 1980
• Tongue: English
• Weight: 295 KB
• Volume: 14
• Category: Article
• ISSN: 0022-0833
• DOI: 10.1007/bf00037619

✦ 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);