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Cos






Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/01.07.06.0041.01









  


  










Input Form





Cos[z]^3 == Subscript[F, Infinity][z] /; Subscript[F, m][z] == 1 + (1/4) Sum[((-1)^j (3 + 3^(2 j)) z^(2 j))/(2 j)!, {j, 1, m}] == Cos[z]^3 + (-1)^m 2^(-4 - 2 m) Sqrt[Pi] z^(2 + 2 m) (3^(2 + 2 m) HypergeometricPFQRegularized[{1}, {3/2 + m, 2 + m}, -((9 z^2)/4)] + 3 HypergeometricPFQRegularized[{1}, {3/2 + m, 2 + m}, -(z^2/4)]) && Element[m, Integers] && m >= 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