Spherical Bessel Function of the Second Kind
المؤلف:
Abramowitz, M. and Stegun, I. A.
المصدر:
"Spherical Bessel Functions." §10.1 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover
الجزء والصفحة:
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30-3-2019
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Spherical Bessel Function of the Second Kind
The spherical Bessel function of the second kind, denoted 
or 
, is defined by
 |
(1)
|
where 
is a Bessel function of the second kind and, in general, 
and 
are complex numbers.
The spherical Bessel function of the second kind is implemented in the Wolfram Language as SphericalBesselY[n,z].
The function is most commonly encountered in the case 
an integer, in which case it is given by
where 
is a Bessel function of the first kind.
Specific cases for small nonnegative 
are given by
REFERENCES:
Abramowitz, M. and Stegun, I. 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.
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