Gamma function and related functions.

Approximations of the gamma function, incomplete gamma functions, generalized gamma functions, and factorials.

Gamma

gamma is a number theory package written in Haskell that aims to provide its users with the following functionality:

• A typeclass

  class Num a => Factorial a
  

  that provides a factorial function.
• A typeclass

  class (Eq a, Floating a, Factorial a) => Gamma a
  

  that provides the functions
  • gamma
  • lnGamma (natural logarithm of the gamma function) and
  • lnFactorial (natural logarithm of the factorial function).
• A typeclass

  class Gamma a => IncGamma a
  

  for the incomplete lower and upper gamma functions.
• A typeclass

  class Gamma a => GenGamma a
  

  to represent the multivariate gamma function.