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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Differentiation > Fractional integro-differentiation





http://functions.wolfram.com/01.20.20.0009.01









  


  










Input Form





D[Cosh[a z + b], {z, \[Alpha]}] == (2^(-1 + \[Alpha]) Sqrt[Pi] (2 Cosh[b] HypergeometricPFQRegularized[{1}, {1/2 - \[Alpha]/2, 1 - \[Alpha]/2}, (1/4) a^2 z^2] + a z HypergeometricPFQRegularized[{1}, {1 - \[Alpha]/2, 3/2 - \[Alpha]/2}, (1/4) a^2 z^2] Sinh[b]))/z^\[Alpha]










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)





2002-12-18