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Complex Analysis
Solve coshz=2 and separate real and Imaginary part?
Complex Analysis
prove that image of
the vertical line x=k with k is not =0 to the circle mode of w-1/2k = mode of 1/2k
the vertical line x=k with k is not =0 to the circle mode of w-1/2k = mode of 1/2k
Complex Analysis
Find residue
1)- 4/1+z^2
2)- 1/1-e^z
3)- sin2z/z^6
1)- 4/1+z^2
2)- 1/1-e^z
3)- sin2z/z^6
Complex Analysis
Using complex numbers, prove that the, angles A, B and C of a planar triangle satisfy the relations
(i) cos^2 A + cos^2 B + cos^2 C = 1 − 2 cos A cos B cos C
(ii) sin 2A + sin 2B + sin 2C = 4 sin A sin B sin C.
Complex Analysis
Express cos^4
θ sin^3
θ in terms of multiples of angles.
θ sin^3
θ in terms of multiples of angles.
Complex Analysis
For the function
f(z)=1/(z²(1 + z + 2z2))
,
find the first three terms of the Laurent Series expansion of f about a = 0 that converges
in the deleted disk D'(0, δ) for some δ > 0
f(z)=1/(z²(1 + z + 2z2))
,
find the first three terms of the Laurent Series expansion of f about a = 0 that converges
in the deleted disk D'(0, δ) for some δ > 0
Complex Analysis
The equation z-3i-3=z+i+2 in z=x+iy with x,y belongs to R describes the line
Complex Analysis
Prove that for Re(s) >1,we have phi(s) =s integral from 1 to infinity f(x)/x^{s+1} dx
Complex Analysis
Infinite product (1+Zn) converges
Show that lim Zn=0
Show that lim Zn=0
Complex Analysis
Show that product of (1+e^nz) from n=1,2,3,...
Diverges in the half-plane Re(z) >=0
Diverges in the half-plane Re(z) >=0
