Examples for

Special Functions
Special functions refer to mathematical functions having particular usage in the study of analysis, physics, or another branch of science or mathematics. Typically, they come with their own conventional names and notations. Wolfram|Alpha has the ability to handle many families of special functions due to the powerful built-in functionalities of the Wolfram Language.

Beta Functions

Compute properties for the Euler beta or incomplete beta function.

Compute values of the Beta function:

Plot values of the incomplete Beta function:

More examples

Error Functions

Compute properties for the error function and complementary error function.

Compute values of the error function:

Analyze the complementary error function:

More examples

Legendre Polynomials

Compute properties for Legendre polynomials of the first and the second kind.

Compute Legendre P polynomials:

Plot a Legendre Q polynomial:

More examples

Spheroidal Functions

Compute properties for spheroidal functions of the first and the second kind.

Evaluate S(1) numerically:

More examples