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sar5
Joined: 17 May 2004
Posts: 16
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 08 Jul 2004 13:45 spherical bessel function |
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| tags: spherical bessel function spherical bessel complex argument bessel spherical fortran spherical bessel functions |
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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
[/b]
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Kit-the-great
Joined: 30 Mar 2002
Posts: 174
Helped: 1
Location: Russia
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| 08 Jul 2004 14:18 spherical bessel function |
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| tags: spherical bessel function 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 15:52 Re: spherical bessel function |
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| tags: spherical bessel function spherical bessel wikipedia bessel function half order spherical functions half order bessel spherical hankel functions ricatti bessel wikipedia bessel spherical |
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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 15:55 Re: spherical bessel function |
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| tags: spherical bessel function spherical bessel complex argument bessel spherical |
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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 1:12 spherical bessel function |
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| I would love to have that book too.
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