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StruveH






Mathematica Notation

Traditional Notation









Bessel-Type Functions > StruveH[nu,z] > Series representations > Asymptotic series expansions > Expansions inside Stokes sectors > Expansions containing z->-infinity > In exponential form ||| In exponential form





http://functions.wolfram.com/03.09.06.0055.01









  


  










Input Form





StruveH[\[Nu], z] \[Proportional] ((-1)^(1 + \[Nu])/Sqrt[-2 Pi z]) (Exp[(-I) z - ((2 \[Nu] + 3)/4) Pi I] HypergeometricPFQ[ {1/2 + \[Nu], 1/2 - \[Nu]}, {}, I/(2 z)] + Exp[I z + ((2 \[Nu] + 3)/4) Pi I] HypergeometricPFQ[ {1/2 + \[Nu], 1/2 - \[Nu]}, {}, -(I/(2 z))]) + ((2^(1 - \[Nu]) (-1)^(1 + \[Nu]) (-z)^(\[Nu] - 1))/ (Sqrt[Pi] Gamma[1/2 + \[Nu]])) HypergeometricPFQ[{1/2, 1/2 - \[Nu], 1}, {}, -(4/z^2)] /; Inequality[0, Less, Arg[z], LessEqual, Pi] && (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





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