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Sin






Mathematica Notation

Traditional Notation









Elementary Functions > Sin[z] > Series representations > Generalized power series > Expansions at z==0 > For powers of the function > For symbolical power





http://functions.wolfram.com/01.06.06.0052.01









  


  










Input Form





(z^\[Beta] Sin[z])^a == E^(2 I a Pi Floor[1/2 - Arg[Sin[z]/z]/(2 Pi) - Im[(\[Beta] + 1) Log[z]]/ (2 Pi)]) a z^((\[Beta] + 1) a) Sum[Binomial[k - a, k] Sum[(((-1)^j Binomial[k, j])/(a - j)) Subscript[p, j, k] z^k, {j, 0, k}], {k, 0, Infinity}] /; Subscript[p, j, 0] == 1 && Subscript[p, j, k] == (1/k) Sum[(j m - k + m) (1 + 2 Floor[m/2] - m) ((-1)^(m/2)/(m + 1)!) Subscript[p, j, k - m], {m, 1, k}] && Element[k, Integers] && k > 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





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