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BesselI






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/03.02.06.0016.01









  


  










Input Form





BesselI[\[Nu], z] \[Proportional] ((Sqrt[2]/Sqrt[Pi]) z^\[Nu] (Cos[Sqrt[-z^2] - (Pi (2 \[Nu] + 1))/4] (1 + O[1/z^2]) + ((1 - 4 \[Nu]^2)/(8 Sqrt[-z^2])) Sin[Sqrt[-z^2] - (Pi (2 \[Nu] + 1))/4] (1 + O[1/z^2])))/ (-z^2)^((2 \[Nu] + 1)/4) /; (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)





2001-10-29