Special functions
2014-07-25 — 2016-12-21
physics
probability
statistics
Wherein a wunderkammer of useful curves is presented, and Bessel, Gamma, Erf and orthogonal polynomials are catalogued with applications to function approximation and probabilistic integrals.
A wunderkammer of useful curves.
Chaitanya Rao, Some special functions and their applications: Bessel and related functions (Hankel, Airy), Hermite, Laguerre, Chebyshev, 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