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StruveL




Mathematica Notation

Traditional Notation









Bessel-Type Functions > StruveL[nu,z] > Series representations > Asymptotic series expansions > Expansions for any z in exponential form > Using exponential function with branch cut-containing arguments





http://functions.wolfram.com/03.10.06.0058.01









  


  








Input Form





StruveL[\[Nu], z] \[Proportional] ((1/Sqrt[2 Pi]) z^(\[Nu] + 1) (Exp[I Sqrt[-z^2] - ((2 \[Nu] + 3)/4) Pi I] HypergeometricPFQ[{1/2 + \[Nu], 1/2 - \[Nu]}, {}, -(I/(2 Sqrt[-z^2]))] + Exp[(-I) Sqrt[-z^2] + ((2 \[Nu] + 3)/4) Pi I] HypergeometricPFQ[{1/2 + \[Nu], 1/2 - \[Nu]}, {}, I/(2 Sqrt[-z^2])]))/ (-z^2)^((3 + 2 \[Nu])/4) - ((2^(1 - \[Nu]) z^(\[Nu] - 1))/ (Sqrt[Pi] Gamma[1/2 + \[Nu]])) HypergeometricPFQ[{1/2, 1/2 - \[Nu], 1}, {}, 4/z^2] /; (Abs[z] -> Infinity)








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)





2007-05-02