In mathematics, several functions of a real or complex variable are important enough to deserve their own name. This is a listing of pointers to those articles which explain these special functions in more detail.
- Polynomials: can be generated by addition and multiplication alone.
- Exponential function: raise a fixed number to a variable power.
- Logarithm: the inverses of exponential functions; useful to solve equations involving exponentials.
- Trigonometric functions: Sine, Cosine, etc.; used in geometry and to describe periodic phenomena.
- Hyperbolic functions: formally similiar to the trigonometric functions
- Gamma function: A generalization of the factorial function.
- Elliptic integrals: Important in many applications, for instance when studying ellipses.
- Elliptic functions: The inverses of elliptic integrals; used to model double-periodic phenomena
- Bessel functions: Defined by a differential equation; useful in astronomy and mechanics.