bessel_y SciMax Toolbox beta

SciMax Toolbox >> besselexpand

besselexpand

Option variable

besselexpand

Description

Default value: false

Controls expansion of the Bessel functions when the order is half of an odd integer. In this case, the Bessel functions can be expanded in terms of other elementary functions. When besselexpand is true, the Bessel function is expanded.

(%i1) besselexpand: false$
(%i2) bessel_j (3/2, z);
                                    3
(%o2)                      bessel_j(-, z)
                                    2
(%i3) besselexpand: true$
(%i4) bessel_j (3/2, z);
                          2 z   sin(z)   cos(z)
(%o4)                sqrt(---) (------ - ------)
                          %pi      2       z
                                  z
bessel_y SciMax Toolbox beta