K-Bessel function
- Category
- STANDARD MATHEMATICS
- Definition
- The exponentially decaying modified Bessel function K_nu(x), useful in rapidly convergent analytic and arithmetic expansions.
- Math Level
- SPECIALIST
- Index Excerpt
- K_nu; modified Bessel K; Macdonald function
K-Bessel function
The modified Bessel function of the second kind is commonly written and is often called the K-Bessel function.
It solves a modified form of Bessel's differential equation and is distinguished by its exponentially decaying behaviour for large positive .
K-Bessel functions occur throughout analysis, number theory, mathematical physics and integral transforms.
See also: Bessel function, asymptotic. .