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StruveL




Mathematica Notation

Traditional Notation









Bessel-Type Functions > StruveL[nu,z] > Integration > Indefinite integration > Involving direct function and Bessel-, Airy-, Struve-type functions > Involving Bessel functions > Involving Bessel I and power





http://functions.wolfram.com/03.10.21.0011.01









  


  








Input Form





Integrate[z^n (BesselI[-\[Nu], a z] - StruveL[\[Nu], a z]), z] == (2^(-2 - \[Nu]) z^(1 + n) (2^(1 + 2 \[Nu]) Gamma[(1/2) (1 + n - \[Nu])] HypergeometricPFQRegularized[{(1/2) (1 + n - \[Nu])}, {1 - \[Nu], (1/2) (3 + n - \[Nu])}, (a^2 z^2)/4] - a z (a z)^(2 \[Nu]) Gamma[(1/2) (2 + n + \[Nu])] HypergeometricPFQRegularized[{1, (1/2) (2 + n + \[Nu])}, {3/2 + \[Nu], 3/2, (1/2) (4 + n + \[Nu])}, (a^2 z^2)/4]))/(a z)^\[Nu]








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