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genfunc[rgf_pfrac] - partial fractions over the complex numbers
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Calling Sequence
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rgf_pfrac(Fz, z)
rgf_pfrac(Fz, z, 'no_RootOf')
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Parameters
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Fz
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rational generating function
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z
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name, generating function variable
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Description
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Computes the complete partial fraction expansion of Fz over the complex numbers.
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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.
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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.
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The global variables _J and _R are used in the RootOf expressions.
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The command with(genfunc,rgf_pfrac) allows the use of the abbreviated form of this command.
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Examples
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