Cosine: Differentiation (formula 01.07.20.0009)

Cos

$Mathematica Notation$

Elementary Functions

Cos[z]

Differentiation

Fractional integro-differentiation

http://functions.wolfram.com/01.07.20.0009.01

Input Form

D[Cos[a z + b], {z, \[Alpha]}] == (2^(-1 + \[Alpha]) Sqrt[Pi] (2 Cos[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] Sin[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