# Special functions

July 25, 2014 — December 21, 2016

physics

probability

statistics

A wunderkammer of useful curves.

Chaitanya Rao, Some special functions and their applications: Bessel and related functions (Hankel, Airy), Hermite, Laguerre, Chebychev, Legendre polynomials, various fun integrals such as Fresnel integrals, Erf and so on, as made popular by all of functional analysis and its application in function approximation.

## 1 Erf

## 2 Gamma function

## 3 Bessel functions

## 4 t-density

Shoichi Midorikawa’s Derivation of the t-Distribution

John Cook’s Student-t as a mixture of Normals