Sponsored links: Algebra eBooks
 

Help Index

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

The Maxima on-line user's manual

Algebra Calculator

Search:

Residue Calculator

Residue

Function: residue (<expr>, <z>, <z_0>) Computes the residue in the complex plane of the expression <expr> when the variable <z> assumes the value <z_0>. The residue is the coefficient of (<z> - <z_0>)^(-1) in the Laurent series for <expr>.

residue ((1-((i*z)**2)/2+((i*z)**4)/24)/z**6, z, 0);

          (%i1) residue (s/(s**2+a**2), s, a*%i);
                                          1
          (%o1)                           -
                                          2
          (%i2) residue (sin(a*x)/x**4, x, 0);
                                           3
                                          a
          (%o2)                         - --
                                          6

(%o1)                                true
(%i2) 

Residue Example

Related Examples

residue-sin

residue (1/sin(z), z,0);

Calculate

residue

residue (s/(s**2+a**2...

residue (ch(sa/2)/s*...

Calculate

residue-sin

residue ((sin(z)/(z-1...

Calculate

residue

residue (s/(s**2+a**2...

residue ((1/(z^3))/ ...

Calculate

residue

residue((z)/((z-1)*(z...

Calculate

residue

residue( (3*z+14)/((z...

Calculate

residue-sec

residue(sec(pi*z)*sec...

Calculate

residue

residue (1/(x^4+1), x...

Calculate

residue

residue ((1-((i*z)**2...

(1-((i*5*i)**2)/2+((i...

(1-((i*-5*i)**2)/2+((...

Calculate

residue

residue ((-x)**(-2-3*...

Calculate