Keywords - Function groups - @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Library: math
See also:

Quantlet: mbessel3
Description: calculates the modified Bessel function of the third kind with index lambda

Usage: res = mbessel3(lamb, x)
Input:
lamb scalar, the index lambda for the modified Bessel function of the third kind
x n x 1 vector of positive numbers, argument of the Bessel function
Output:
res.y n x 1 vector, the values of modified Bessel function of the third kind with index lambda
res.flag n x 1 vector, the indicator for convergence: 0 - converged, 1 - not converged, 2 - approximation formula has been adopted.

Example:
library("math")
x = aseq(0.1, 10, 0.1)
lambda = 1
mb3 = mbessel3(lambda, x)
x ~ mb3.y ~ mb3.flag

Result:
x, y and the indicator for convergence are listed.

   Contents of _tmp
   [ 1,]      0.1   9.8538        0
   [ 2,]      0.2    4.776        0
   [ 3,]      0.3    3.056        0
   [ 4,]      0.4   2.1844        0
   [ 5,]      0.5   1.6564        0
   [ 6,]      0.6   1.3028        0
   [ 7,]      0.7   1.0503        0
   [ 8,]      0.8  0.86178        0
   [ 9,]      0.9  0.71653        0
   [10,]        1  0.60191        0



Author: W. Haerdle, S. Jeong, 20030225 , S.Borak 20040426 license MD*Tech
(C) MD*TECH Method and Data Technologies, 05.02.2006