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genfunc

  

rgf_norm

  

normalize a rational generating function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

rgf_norm(Fz, z)

rgf_norm(Fz, z, 'factored')

rgf_norm(Fz, z, 'factored'(ext))

Parameters

Fz

-

rational generating function

z

-

name, generating function variable

ext

-

(optional) algebraic extensions for factor

Description

• 

The command rgf_norm(Fz, z) puts the generating function in normal form, expands the numerator and denominator, and factors the low order coefficient from the denominator.

• 

If the optional 'factored' argument is used, the function factor is applied to the denominator.

• 

The algebraic extensions ext may be a single extension, an expression sequence of extensions, or a set of extensions to be used when factoring the denominator.

• 

The command with(genfunc,rgf_norm) allows the use of the abbreviated form of this command.

Examples

withgenfunc:

rgf_norm123z+z2,z

1212z232z+1

(1)

rgf_norm123z+z2,z,'factored'

12z+112z+1

(2)

rgf_norm15z2,z,'factored'5

15115z51+15z5

(3)

See Also

factor

genfunc

normal

 


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