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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Series representations > Generalized power series > Expansions of (1+z)a at z==0 > Expansions of (1+Sumk=1infinityck zk)a at z==0





http://functions.wolfram.com/01.02.06.0061.01









  


  








Input Form





(1 + Sum[Subscript[c, k] z^k, {k, 1, Infinity}])^a \[Proportional] 1 + a Subscript[c, 1] z + (1/2) a ((-1 + a) Subscript[c, 1]^2 + 2 Subscript[c, 2]) z^2 + (1/6) a ((a - 1) (a - 2) Subscript[c, 1]^3 + 6 (a - 1) Subscript[c, 1] Subscript[c, 2] + 6 Subscript[c, 3]) z^3 + O[z^4] /; (z -> 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