compute the algebraic residue of an expression - Maple Help

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residue - compute the algebraic residue of an expression

Calling Sequence

residue(f, x=a)

Parameters

f

-

arbitrary algebraic expression

x

-

variable

a

-

algebraic value at which the residue is evaluated

Description

• 

Computes the algebraic residue of the expression f for the variable x around the point a. The residue is defined as the coefficient of 1xa in the Laurent series expansion of f.

Examples

residueζs,s=1

1

(1)

residueΨxΓxx,x=0

112π2+12γ2

(2)

residueⅇx,x=1

0

(3)

See Also

series, singular


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