find Laurent series expression of
in region
a- 1< |z| < 3
b- 0< |z+1| < 2
I use laurant series to solve this problem
find Laurent series expression of in region a- 1< |z| < 3 b- 0< |z+1| <...
A) B) C) 1 Find the Laurent series for 22 +22 for 0 < 121 < 2 Find the Laurent series for (z+2)}(3-2) for 2 – 3) > 5 1 Find the Laurent series for z2(z-i) for 1 < 12 – 11 < V2
2 7. Find the Laurent series of the function f(2) = in the region 1 < 121 < 2. (z+1)(2 – 2)
) 1. Find the Laurent series of f(z) on the indicated domain. (a) -,2, on 0 < |z-i| < 2. 1+22 222z 5 , on z 1| > 1
(b) Determine the largest R such that the Laurent series of 2+1 f(z) = z 1 + (z-iT)(z+T) converges for 0< z-1|<R (b) Determine the largest R such that the Laurent series of 2+1 f(z) = z 1 + (z-iT)(z+T) converges for 0
Find Laurent series expansion centered on z= 0 for |z|<1 and for |z|>1 f(e) f() = -1-2) 1+22
2. Find three different Laurent series representations (about 0) for the function 3 f(z) 2. Find three different Laurent series representations (about 0) for the function 3 f(z)
Derive the Laurent series expansion for the function (a) f(z) := z^2 sin (1/(z − 1 )) on the exterior |z − 1| > 0 of the unit disk centered at 1, and for the function (b) g(z) := 1 /(z^2 + z − 2) in the annular region 1 < |z − 1| < 3
+ for (a)0</zl</ (6) 12/> 1. -6) Find the two Laurent series in powers of z that represent sin --
Find the Laurent series (expressed as a sum) of the following functions: a) f(z) =-sinh(z) C' b)f(z) =-e Find the Laurent series (expressed as a sum) of the following functions: a) f(z) =-sinh(z) C' b)f(z) =-e
Laurent series the following function open the Laurent series in 1<|z+1|<3 1. Aşagıdaki fonksiyonu 1 <1: +11 < 3 bölgesinde Laurent SC 223-2)