Article contents
A Relation between Laplace and Hankel Transforms
Published online by Cambridge University Press: 18 May 2009
Extract
The Laplace transform of a function f(t) ∈ L(0, ∞) is defined by the equation
and its Hankel transform of order v is defined by the equation
The object of this note is to obtain a relation between the Laplace transform of tμf(t) and the Hankel transform of f(t), when ℛ(μ) > − 1. The result is stated in the form of a theorem which is then illustrated by an example.
- Type
- Research Article
- Information
- Copyright
- Copyright © Glasgow Mathematical Journal Trust 1962
References
- 5
- Cited by