Mathematical Special Functions
The technical term 'Special Functions' includes several families of transcendental functions, which have important applications in particular branches of mathematics and physics.
The gamma and related functions, and the error function are crucial for mathematical statistics. The Bessel and related functions arise in problems involving wave propagation (especially in optics). Other major categories of special functions include the elliptic integrals (related to the arc length of an ellipse), and the hypergeometric functions.
Status: Many more functions will be added to this module. The naming convention for the distribution functions (gammaIncomplete, etc) is not yet finalized and will probably change.
Incomplete beta integral
Inverse of incomplete beta integral
Complementary error function
The Gamma function, $(GAMMA)(x)
Incomplete gamma integral and its complement
Inverse of complemented incomplete gamma integral
Natural logarithm of the gamma function, $(GAMMA)(x)
Log Minus Digamma function
Inverse of the Log Minus Digamma function
Standard normal distribution function.
Inverse of Standard normal distribution function
The sign of $(GAMMA)(x).