Numerical evaluation of the modified Bessel functions I and K
β Scribed by M.A. Gatto; J.B. Seery
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 456 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
Ahstrati-A method to compute the modified Bessel functions Z,(x) and K.(x) for positive real x and integer a is presented. A recursion procedure is used, based on Miller's algorithm.
π SIMILAR VOLUMES
The evaluation of the modified Bessel function of the third kind of purely imaginary order K ia (x) is discussed; we also present analogous results for the derivative. The methods are based on the use of Maclaurin series, nonoscillatory integral representations, asymptotic expansions, and a continue
thii paper, an asymptotic expression of the incomplete gamma matrix function and integral expressions of Bessel matrix functions are given. Results are applied to study the asymptotic behavior of the modified Bessel function.