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variants of this functions
KelvinBei




Mathematica Notation

Traditional Notation









Bessel-Type Functions > KelvinBei[nu,z] > Series representations > Generalized power series > Expansions at z==0 > For the function itself > General case





http://functions.wolfram.com/03.17.06.0022.01









  


  








Input Form





KelvinBei[\[Nu], z] == Subscript[F, Infinity][z, \[Nu]] /; Subscript[F, n][z, \[Nu]] == (z/2)^\[Nu] Sum[(Sin[(1/4) Pi (2 k + 3 \[Nu])]/(Gamma[k + \[Nu] + 1] k!)) (z/2)^(2 k), {k, 0, n}] == KelvinBei[\[Nu], z] - ((-I)^n 2^(-3 - 2 n - \[Nu]) z^(2 + 2 n + \[Nu]) (HypergeometricPFQRegularized[{1}, {2 + n, 2 + n + \[Nu]}, -((I z^2)/4)] + (-1)^n E^((3 I Pi \[Nu])/2) HypergeometricPFQRegularized[{1}, {2 + n, 2 + n + \[Nu]}, (I z^2)/4]))/E^((3/4) I Pi \[Nu]) && Element[n, Integers] && n >= 0








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