genfunc - Maple Programming Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Algebra : Rational Expressions : Rational Generating Functions : genfunc/rgf_pfrac

genfunc

  

rgf_pfrac

  

partial fractions over the complex numbers

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

rgf_pfrac(Fz, z)

rgf_pfrac(Fz, z, 'no_RootOf')

Parameters

Fz

-

rational generating function

z

-

name, generating function variable

Description

• 

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.

Examples

withgenfunc:

rgf_pfrac1+z13z+2z2,z

2z132z1

(1)

rgf_pfrac11zz2,z

2552z+1+52552z5+1

(2)

rgf_pfrac11zz2z3,z

_R=RootOf_Z3+_Z2+_Z1limz→_Rz_Rz3+z2+z1z_R

(3)

rgf_pfrac11zz2z5+z6,z,'no_RootOf'

Rgf_pfrac1z6z5z2z+1,z

(4)

See Also

convert[parfrac]

factor

genfunc

RootOf

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam