Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.atnf.csiro.au/computing/software/gipsy/sub/bessel.dc2 Дата изменения: Mon Aug 24 15:21:08 1998 Дата индексирования: Fri Jan 16 01:14:23 2009 Кодировка: Поисковые слова: http astrokuban.info astrokuban

Function: BESSEL

Purpose: Evaluate Bessel function J, Y, I, K of integer order.

Category: MATH

File: bessel.c

Author: M.G.R. Vogelaar

Use: See bessj.dc2, bessy.dc2, bessi.dc2 or bessk.dc2

Description: The differential equation

2
2 d w dw 2 2
x . --- + x . --- + (x - v ).w = 0
2 dx
dx

has two solutions called Bessel functions of the first kind
Jv(x) and Bessel functions of the second kind Yv(x).
The routines bessj and bessy return the J and Y for
integer v and therefore are called Bessel functions
of integer order.

The differential equation

2
2 d w dw 2 2
x . --- + x . --- - (x + v ).w = 0
2 dx
dx

has two solutions called modified Bessel functions
Iv(x) and Kv(x).
The routines bessi and bessk return the I and K for
integer v and therefore are called Modified Bessel
functions of integer order.
(Abramowitz & Stegun, Handbook of mathematical
functions, ch. 9, pages 358,- and 374,- )

The implementation is based on the ideas from
Numerical Recipes, Press et. al.
This routine is NOT callable in FORTRAN.

Updates: Jun 29, 1998: VOG, Document created.