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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Series representations > Generalized power series > Expansions at generic point z==z0 > Expansions of f(z)a at z==z0





http://functions.wolfram.com/01.02.06.0038.01









  


  








Input Form





f[z]^n == f[Subscript[z, 0]]^n Sum[Subscript[p, n, k] (z - Subscript[z, 0])^k, {k, 0, m n}] /; f[z] == Sum[Subscript[c, k] z^k, {k, 0, m}] && Subscript[p, j, 0] == 1 && Subscript[p, j, k] == (1/(f[Subscript[z, 0]] k)) Sum[((j m - k + m)/m!) Derivative[m][f][Subscript[z, 0]] Subscript[p, j, k - m], {m, 1, k}] && Element[k, Integers] && k > 0 && Element[m, Integers] && m > 0 && Element[n, Integers] && n > 0 && Subscript[c, j] == 0 /; j > m && f[Subscript[z, 0]] != 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