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Power






Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Differentiation > Symbolic differentiation > With respect to z





http://functions.wolfram.com/01.02.20.0006.02









  


  










Input Form





D[(b + c z^2)^a, {z, n}] == 2^n (c z)^n (b + c z^2)^(a - n) Pochhammer[a - n + 1, n] Hypergeometric2F1[(1 - n)/2, -(n/2), a - n + 1, 1 + b/(c z^2)] /; Element[n, Integers] && n >= 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)





2001-10-29