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Riccati-Bessel Functions


S_n(z)=zj_n(z)=sqrt((piz)/2)J_(n+1/2)(z)
(1)
C_n(z)=-zn_n(z)=-sqrt((piz)/2)N_(n+1/2)(z),
(2)

where j_n(z) and n_n(z) are spherical Bessel functions of the first and second kind.


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References

Abramowitz, M. and Stegun, I. A. (Eds.). "Riccati-Bessel Functions." §10.3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 445, 1972.

Referenced on Wolfram|Alpha

Riccati-Bessel Functions

Cite this as:

Weisstein, Eric W. "Riccati-Bessel Functions." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Riccati-BesselFunctions.html

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