How to do it...

Steps to use gamma function are as follows:

  1. Install the proper function
  2. Execute the function
  3. Solve the function
  4. The result will be presented

We will see in the following table the function and the description:

Function

Description

gamma(z)

Gamma function

gammaln(x, /[, out, where, casting, order, ...])

Logarithm of the absolute value of the gamma function

loggamma(z[, out])

Principal branch of the logarithm of the gamma function

gammasgn(x)

Sign of the gamma function

gammainc(a, x)

Regularized lower incomplete gamma function

gammaincinv(a, y)

Inverse to gammainc

gammaincc(a, x)

Regularized upper incomplete gamma function

gammainccinv(a, y)

Inverse to gammaincc

beta(a, b)

Beta function

betaln(a, b)

Natural logarithm of absolute value of beta function

betainc(a, b, x)

Incomplete beta integral

betaincinv(a, b, y)

Inverse function to beta integral

psi(z[, out])

The digamma function

rgamma(z)

Gamma function inverted

polygamma(n, x)

Polygamma function n

multigammaln(a, d)

Returns the log of multivariate gamma, also sometimes called the generalized gamma

digamma(z[, out])

The digamma function

poch(z, m)

Rising factorial (z)_m

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