Question: Maple's Hankel Transform

I want to compute Hankel transforms with Maple.

I have noticed that Maple uses a different Hankel transform than the one in e.g. Bracewell (p335).

Maple computes

Integral{f(t)*Jn(s*t)*sqrt(s*t)dt, t:0->inf},

while I want to compute

Integral{f(t)*Jn(s*t)*t dt, t:0->inf}.

How can I compute the Hankel transform below with Maple?


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