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sphericalBessY

sphericalBessY (n, x [, accuracy])​

The sphericalBessY function returns the spherical Bessel function of the second kind and order n.

yn(x)=π2xYn+1/2(x).\displaystyle y_{n}(x)=\sqrt{\frac{\pi}{2 x}} Y_{n+1 / 2}(x) . y0(x)=−cos⁡(x)xy1(x)=−cos⁡(x)x2−sin⁡(x)xy2(x)=(1x−3x3)cos⁡(x)−3x2sin⁡(x).\begin{array}{l} \displaystyle y_{0}(x)=-\frac{\cos (x)}{x} \\ \\ \displaystyle y_{1}(x)=-\frac{\cos (x)}{x^{2}}-\frac{\sin (x)}{x} \\ \\ \displaystyle y_{2}(x)=\left(\frac{1}{x}-\frac{3}{x^{3}}\right) \cos (x)-\frac{3}{x^{2}} \sin (x) . \end{array}

Details​

See the bessI function for details on accuracy and speed of execution.

See Also​

sphericalBessYD, sphericalBessJ

References​

Abramowitz, M., and I.A. Stegun, "Handbook of Mathematical Functions", 446 pp., Dover, New York, 1972.