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LogGammaFibonacci

PolyGamma

FilledSmallSquarePolyGamma[z] gives the digamma function .

FilledSmallSquarePolyGamma[n, z] gives the derivative of the digamma function .

FilledSmallSquarePolyGamma[z] is the logarithmic derivative of the gamma function, given by .

FilledSmallSquarePolyGamma[n, z] is given by .

FilledSmallSquare The digamma function is ; is the logarithmic derivative of the gamma function.

FilledSmallSquarePolyGamma[z] and PolyGamma[n, z] are meromorphic functions of z with no branch cut discontinuities.

FilledSmallSquareFullSimplify and FunctionExpand include transformation rules for PolyGamma.

FilledSmallSquare See The Mathematica Book: Section 3.2.10.

FilledSmallSquare Implementation Notes: see section A.9.4.

FilledSmallSquare See also: Gamma, LogGamma, EulerGamma.

Further Examples

LogGammaFibonacci