spherical bessel function

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sar5

Joined: 17 May 2004
Posts: 16

08 Jul 2004 12:45 spherical bessel function

Hi,

I am looking for expressions concerning spherical bessel functions and Ricatti functions for COMPLEX ARGUMENT.

When complex arguement (eg/ 10+j 13) for sperical bessel functions in MATHCAD is used the result is very large(10 exp 22). Is this normal? the result is same in FORTRAN aswell.

THANKS
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Kit-the-great

Joined: 30 Mar 2002
Posts: 176
Helped: 1
Location: Russia

08 Jul 2004 13:18 fungsi bessel spherical

What do You mean by spherical bessel function ? Is it the bessel function of third kind (Hankel function) ? And what order of this function ?

sar5

Joined: 17 May 2004
Posts: 16

08 Jul 2004 14:52 ricatti bessel function complex

The spherical Bessel function (aka half-order Bessel functions) is found in the case of systems with spherical symmetry.

j(n,x) = (pi / 2x)^1/2 * J(n+1/2, x)

Like Bessel functions there are 3 kinds of Spherical Bessel functions- first kind, second kind and spherical hankel functions.

It should be RICATTI BESSEL FUNCTIONS not RICATTI FUNCTIONS.

http://www.phys.ufl.edu/~fry/4605/jn.pdf

http://en.wikipedia.org/wiki/Bessel_function#Spherical_Bessel_functions

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sar5

Joined: 17 May 2004
Posts: 16

08 Jul 2004 14:55 symmetrie besselfunktion

does anyone have this book?

COMPUTATION OF SPECIAL FUNCTIONS , by Shanjie Zhang and Jianming Jin, ISBN 0-471-11963-6

Is it possible to share the information on Spherical Bessel Functions for COMPLEX ARGUMENT.

THANKS A LOT