partial fractions over the complex numbers
rgf_pfrac(Fz, z, 'no_RootOf')
rational generating function
name, generating function variable
Computes the complete partial fraction expansion of Fz over the complex numbers.
The denominator of Fz is factored using factor. Any factors that are polynomials of degree 2 are then factored over the complex numbers. Any factors that are polynomials of degree greater than 2 are represented in factored form using Sum and RootOf expressions.
If the optional argument 'no_RootOf' is used, the denominator will be completely factored over the complex numbers. If the denominator cannot be factored, an inert Pfrac expression is returned.
The global variables _J and _R are used in the RootOf expressions.
The command with(genfunc,rgf_pfrac) allows the use of the abbreviated form of this command.
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