PolyGamma

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PolyGamma( n, z )

The PolyGamma function is an advanced mathematical function defined as a n'th derivative of the LGamma function. The parameter «n» is a non-negative integer, and «z» is real. The PolyGamma function is a complex function in general, but Analytica's implementation supports real values only. The full function is real-valued when z>=0 is real or when z<0 but is non-integer.

A few special cases have their own names:

• PolyGamma(0,z) is known as the digamma function.
• PolyGamma(1,z) is known as the trigamma function.

See Also

• LGamma
• GammaFn
• PolyGamma function] on Wikipedia.