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Cos






Mathematica Notation

Traditional Notation









Elementary Functions > Cos[z] > Transformations > Some functions of arguments





http://functions.wolfram.com/01.07.16.0164.01









  


  










Input Form





Cos[a (b z^n)^(1/n)] == (1/2) Sum[(((-I) a (b z^n)^(1/n))^i/i!) HypergeometricPFQ[{1}, {(i + 1)/n, (i + 2)/n, \[Ellipsis], (i + n)/n}, ((-I)^n a^n b z^n)/n^n] + ((I a (b z^n)^(1/n))^i/i!) HypergeometricPFQ[{1}, {(i + 1)/n, (i + 2)/n, \[Ellipsis], (i + n)/n}, (I^n a^n b z^n)/n^n], {i, 0, n - 1}] /; Element[n, Integers] && n > 0










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02