Struve function H: Integral transforms (formula 03.09.22.0005)

StruveH

$Mathematica Notation$

Bessel-Type Functions

StruveH[nu,z]

Integral transforms

Hankel transforms

http://functions.wolfram.com/03.09.22.0005.01

Input Form

HankelTransform[StruveH[\[Nu], t], {t, \[Mu]}, z] == (2 Sqrt[2/Pi] z^(-2 - \[Nu]) Gamma[(1/4) (5 + 2 \[Mu] + 2 \[Nu])] HypergeometricPFQ[{1, (1/4) (5 + 2 \[Mu] + 2 \[Nu]), (1/4) (5 - 2 \[Mu] + 2 \[Nu])}, {3/2 + \[Nu], 3/2}, 1/z^2])/ (Gamma[(1/4) (-1 + 2 \[Mu] - 2 \[Nu])] Gamma[3/2 + \[Nu]]) /; Re[\[Mu] + \[Nu]] > -(5/2)

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2001-10-29