Special functions facts for kids

Kids Encyclopedia Facts

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 $\exp(x)$ is the solution of the ordinary differential equation $y^\prime=y$ . 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

See also

In Spanish: Función especial para niños

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Special functions Facts for Kids. Kiddle Encyclopedia.