Gamma function
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In mathematics, the gamma function is the most common extension of the factorial function to complex numbers. First studied by Daniel Bernoulli, the gamma function Γ is defined for all complex numbers
Daniel Bernoulli's letter to Christian Goldbach (Oct 6, 1729)
Polygamma function
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In mathematics, the polygamma function of order m is a meromorphic function on the complex numbers C defined as the th derivative of the logarithm of the gamma function:
Gamma function
…computing values of the gamma function, we must settle for numerical approximations. The derivatives of the gamma function are described in terms of the polygamma function, ψ ( m ) ( z ) : Γ ′ ( z ) = Γ ( z ) ψ ( 0 ) ( z ) . For a positive integer m the derivative of the gamma function can be calculated as follows: Γ…
Complex Log Gamma
Complex Polygamma 0
Complex Polygamma 1
Complex Polygamma 2