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BesselY






Mathematica Notation

Traditional Notation









Bessel-Type Functions > BesselY[nu,z] > Integral transforms > Hankel transforms





http://functions.wolfram.com/03.03.22.0005.01









  


  










Input Form





HankelTransform[BesselY[\[Nu], t], {t, \[Mu]}, z] == (-((Sqrt[2] z^(-1 - \[Nu]))/Pi)) (z^(2 \[Nu]) Gamma[(1/4) (3 + 2 \[Mu] - 2 \[Nu])] Gamma[\[Nu]] (Hypergeometric2F1[(1/4) (3 - 2 \[Mu] - 2 \[Nu]), (1/4) (3 + 2 \[Mu] - 2 \[Nu]), 1 - \[Nu], 1/z^2]/ Gamma[(1/4) (1 + 2 \[Mu] + 2 \[Nu])]) + Cos[Pi \[Nu]] Gamma[-\[Nu]] Gamma[(1/4) (3 + 2 \[Mu] + 2 \[Nu])] (Hypergeometric2F1[(1/4) (3 - 2 \[Mu] + 2 \[Nu]), (1/4) (3 + 2 \[Mu] + 2 \[Nu]), 1 + \[Nu], 1/z^2]/ Gamma[(1/4) (1 + 2 \[Mu] - 2 \[Nu])])) /; Re[\[Mu] - \[Nu]] > -(3/2) && Re[\[Mu] + \[Nu]] > -(3/2)










Standard Form





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MathML Form







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</ci> <ci> &#957; </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <cn type='rational'> 3 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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





2001-10-29





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