Thus, the first few spherical Bessel functions take the form \[\begin{aligned} j_0(z) &= \frac{\sin z}{z},\\[0.5ex] j_1(z)&=\frac{\sin z}{z^{\,2}} - \frac{\cos z}{z},\\[0.5ex] y_0(z) &= - \frac{\cos z...Thus, the first few spherical Bessel functions take the form j0(z)=sinzz,j1(z)=sinzz2−coszz,y0(z)=−coszz,y1(z)=−coszz2−sinzz.
