You are here
Homeindex of special functions
Primary tabs
index of special functions
The term “special function” is not a completely precise mathematical term. It usually refers to a function of one or more real or complex variables which is either of use in some application or interesting in its own right, and hence has been studied enough to warrant giving it a name. Special functions are usually named after the mathematician who first introduced them or contributed much to their theory although, as in the rest of mathematics, such attributions are not always accurate, and they should be taken with a grain of salt.
0.1 Elementary Functions
0.2 Antiderivatives of elementary functions
0.3 Gamma and related functions

Barnes function
0.4 Functions defined as solutions of linear differential equations
0.5 Functions defined as solutions of nonlinear equations

Painlevé transcendents

Emden function

Airy functions
0.6 Abelian functions
0.7 Zeta Functions
Related:
ComplexFunction, ExponentialIntegral, SpecialCasesOfHypergeometricFunction, PropertiesOfOrthogonalPolynomials
Type of Math Object:
Topic
Major Section:
Reference
Groups audience:
Mathematics Subject Classification
3300 no label found Forums
 Planetary Bugs
 HS/Secondary
 University/Tertiary
 Graduate/Advanced
 Industry/Practice
 Research Topics
 LaTeX help
 Math Comptetitions
 Math History
 Math Humor
 PlanetMath Comments
 PlanetMath System Updates and News
 PlanetMath help
 PlanetMath.ORG
 Strategic Communications Development
 The Math Pub
 Testing messages (ignore)
 Other useful stuff
 Corrections
Attached Articles
Corrections
more functions! by mathcam ✓