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sar5
Joined: 17 May 2004 Posts: 16
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08 Jul 2004 12:45 spherical bessel function |
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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
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08 Jul 2004 13:18 fungsi bessel spherical |
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| What do You mean by spherical bessel function ? Is it the bessel function of third kind (Hankel function) ? And what order of this function ?
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sar5
Joined: 17 May 2004 Posts: 16
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08 Jul 2004 14:52 ricatti bessel function complex |
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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
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08 Jul 2004 14:55 symmetrie besselfunktion |
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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
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djalli
Joined: 10 Nov 2001 Posts: 887 Helped: 15 Location: 1600 Pennsylvania Avenue, Washington DC 20500
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12 Jul 2004 0:12 matcad spherical |
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| I would love to have that book too.
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