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Documentation / Mathematica / Built-in Functions / Mathematical Functions / Factorial Related /

PolyGamma

FilledSmallSquare PolyGamma[z] gives the digamma function .

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

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

FilledSmallSquare PolyGamma[n, z] is given by .

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

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

FilledSmallSquare FullSimplify and FunctionExpand include transformation rules for PolyGamma.

FilledSmallSquare See Section 3.2.10.

FilledSmallSquare Implementation Notes: see Section A.9.4.

FilledSmallSquare See also: Gamma, LogGamma, EulerGamma.

FilledSmallSquare New in Version 1.

Further Examples