The logarithm of the gamma function of z in Math, is special function.
logGamma(x) = log(Gamma(x))
polygamma(n,x) — polygamma function of a real or complex number
psi(n,x)=ψ(n)(x)=dn/dxnψ(x)=polygamma(n,x)=dn+1/dxn+1loggamma(x)
polygamma(n,x) = zeta(n+1,x) if n>0.
polygamma(-1,x) = psi(-1,x) = logGamma(x)
polygamma(0,x) = digamma( x ) = pis(x) = psi(0,x)
Real part on the real axis:
Imaginary part on the real axis:
Real part on the imaginary axis:
Imaginary part on the imaginary axis:
Real part on the complex plane:
Imaginary part on the complex plane:
Absolute value on the complex plane:
Function category: gamma functions