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Spherical Bessel Function

A solution to the Spherical Bessel Differential Equation. The two types of solutions are denoted $j_n(x)$ (Spherical Bessel Function of the First Kind) or $n_n(x)$ (Spherical Bessel Function of the Second Kind).

See also Spherical Bessel Function of the First Kind, Spherical Bessel Function of the Second Kind


References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Spherical Bessel Functions.'' §10.1 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 437-442, 1972.

Arfken, G. ``Spherical Bessel Functions.'' §11.7 in Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, pp. 622-636, 1985.

Press, W. H.; Flannery, B. P.; Teukolsky, S. A.; and Vetterling, W. T. ``Bessel Functions of Fractional Order, Airy Functions, Spherical Bessel Functions.'' §6.7 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambridge University Press, pp. 234-245, 1992.




© 1996-9 Eric W. Weisstein
1999-05-26