PolyGamma

PolyGamma(value)

return the digamma function of the value. The digamma function is defined as the logarithmic derivative of the gamma function.

PolyGamma(m, value)

return the polygamma function of order m of the value. The polygamma function of order m is a meromorphic function on the complex numbers ℂ defined as the (m + 1)-th derivative of the logarithm of the gamma function.

See

• Wikipedia: Polygamma function
• Wikipedia: Digamma function
• Fungrim - Digamma function

Examples

>> PolyGamma(-1, 1)
0

Implementation status

• ☑ - partially implemented

Github

• Implementation of PolyGamma

• Rule definitions of PolyGamma