# Special functions facts for kids

**Special functions** are some mathematical functions used in mathematical analysis or physics. Most of them appear in higher education. Some experts are studying numerical methods for them.

## Definition

In mathematics, most functions are defined as a solution of a differential equation. For example, the exponential function is the solution of the ordinary differential equation . Due to this relation, some mathematicians are studying the connection between ODEs and special functions.

## Examples

- Gamma function, it is studied since Euler
- Orthogonal polynomials, these are polynomials with special properties.
- Matrix functions, these are studied in linear algebra and matrix analysis.

For more examples, find textbooks named "special functions".

- National Institute of Standards and Technology, United States Department of Commerce.
*NIST Digital Library of Mathematical Functions*. Archived from the original on December 13, 2018. - Eric W. Weisstein,
*Special Function*at MathWorld. - R. Jagannathan, (P,Q)-Special Functions

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Special functions Facts for Kids. *Kiddle Encyclopedia.*