Geodesic
A Relation between Laplace and Hankel Transforms
Glasgow mathematical journal, Tome 5 (1962) no. 3, pp. 114-115

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The Laplace transform of a function f(t) ∈ L(0, ∞) is defined by the equationand its Hankel transform of order v is defined by the equationThe 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. 
Bhonsle, B. R. A Relation between Laplace and Hankel Transforms. Glasgow mathematical journal, Tome 5 (1962) no. 3, pp. 114-115. doi: 10.1017/S2040618500034432
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[1] 1.Sneddon, I. N., Fourier transforms (McGraw-Hill, New York, 1951). Google Scholar

[2] 2.Erdélyi, A., editor, Tables of integral transforms (McGraw-Hill, New York, 1954), vol. 1. Google Scholar

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