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Recent questions tagged analytic functions
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1
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For what constant value (or values) of a is the function u = x + ax^3 the real part of an analytic function?
asked
Mar 17, 2019
in
Mathematics
by
kratos
differential equations
analytic functions
+1
vote
1
answer
If f(z) = u + iv is a regular function of z in a domain D the relations hold in D. ∇^2log|f(z)|^2 = 0, if f(z) f'(z) ≠ 0 in D
asked
Mar 11, 2019
in
Mathematics
by
kratos
analytic functions
+3
votes
1
answer
If f(z) = u + iv is a regular function of z in a domain D the following relations hold in D (d/dx|f(z)|)^2 + (d/dy|f(z)|)^2 = |f'(z)|^2
asked
Mar 4, 2019
in
Mathematics
by
kratos
analytic functions
+1
vote
1
answer
Find the fixed point of w = (2zi + 5)/(z - 4i)
asked
Jan 31, 2019
in
Mathematics
by
kratos
analytic functions
+2
votes
1
answer
If solution of the differential equation dy/dx = 1/(xcosy + sin2y) is x = ce^siny - k(1 + siny),
asked
Dec 31, 2018
in
JEE
by
kratos
jee
differential equations
analytic functions
jee mains
+3
votes
1
answer
If f(z) = e^z then show that u and v are harmonic function.
asked
Dec 21, 2018
in
Mathematics
by
kratos
analytic functions
+2
votes
1
answer
If f(z) = u + iv is a regular function of z in a domain D the following relations hold in D ∇^2(up) = p(p - 1) u^p - 2|f'(z)|^2
asked
Nov 28, 2018
in
Mathematics
by
kratos
analytic functions
+2
votes
1
answer
Find the image of the circle |z| = 1 by the transformation w = z + 2 + 4i.
asked
Oct 17, 2018
in
Mathematics
by
kratos
analytic functions
+1
vote
1
answer
If f(z) = u + iv is a regular function of z in a domain D the following relations hold in D ∇^2|f(z)|p = p^2|f(z)|^p - 2|f'(z)|^2
asked
Oct 12, 2018
in
Mathematics
by
kratos
analytic functions
+1
vote
1
answer
Find an analytic function f(z) = u + iv whose u + v = x/(x^2 + y^2)
asked
Oct 10, 2018
in
Mathematics
by
kratos
analytic functions
+3
votes
1
answer
Discuss the conformal transformation w = sinz
asked
Sep 25, 2018
in
Mathematics
by
kratos
analytic functions
+2
votes
1
answer
If f(z) = u + iv is a regular function of z in a domain D the following relations hold in D ∇^2(argf(z)) = 0
asked
Sep 6, 2018
in
Mathematics
by
kratos
analytic functions
+1
vote
1
answer
If f(x) = max {sin x, sin^–1 (cos x)}, then (A) f is differentiable everywhere (B) f is not differentiable everywhere
asked
Aug 19, 2018
in
JEE
by
kratos
jee
analytic functions
jee mains
class-12
differentiability
+2
votes
1
answer
Show that the function f(z) =݁ e^z is differentiable everywhere in the complex plane.
asked
Jul 26, 2018
in
Mathematics
by
kratos
analytic functions
+3
votes
1
answer
Show that the function f(z) = xy + iy is continuous everywhere but not differentiable anywhere.
asked
Jul 21, 2018
in
Mathematics
by
kratos
analytic functions
+2
votes
1
answer
The function f(x) = e^-|x| is (A) continuous everywhere (B) non-differentiable at x = 0
asked
Jul 13, 2018
in
Class 12
by
kratos
cl
analytic functions
class-12
differentiability
continuity
bitsat
+2
votes
1
answer
Find the bilinear transformation that maps the points 1, i, −1 onto i, 0, −i respectively.
asked
Jul 8, 2018
in
Mathematics
by
kratos
analytic functions
+1
vote
1
answer
If f(z) = u + iv is a regular function of z in a domain D the following relations hold in D ∇^2|Re f(z)|^2 = 2|f'(z)|^2
asked
Jun 7, 2018
in
Mathematics
by
kratos
analytic functions
+1
vote
1
answer
Find an analytic function whose real part is u = x^3 - 3xy^2 + 3x^2 - 3y^2 - 3y^2 + 1
asked
May 30, 2018
in
Mathematics
by
kratos
analytic functions
+3
votes
1
answer
Find the image of |z - 2i| = 2 under the transformation w = 1/z.
asked
May 18, 2018
in
Mathematics
by
kratos
analytic functions
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