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Complex Analysis
${f_n(z)}$ be a sequence of analytic function in a domain D such that $f_n$→f uniformly inD. Then $f_n’→f'$ uniformly in D. true/false
Complex Analysis
show that Lagz can have real value if and only if < is positive?
Complex Analysis
if x is the set of complex numbers whose real and imaginary parts and rational,what is Int x,x,8x?
Complex Analysis
wen people were asked if they felt that the laws covering the sale of firearms should be more strict, less strict or kept as they are now, 42% responded more strict., 15 responded less, 35% said keep them as they are now, and 8% had no opinion. If 10 randomly selected people are asked the same question, what is the probability that 5 will respond more strict, 2 less, 2 keep as the are and 1 have no opinion? Round your answer to three decimal places.
Complex Analysis
Suppose p is a polynomial with n distinct real roots. Show that p' has
at least (n-1) distinct real roots.
at least (n-1) distinct real roots.
Complex Analysis
in which chapter of complx i can read about mapping of complex
Complex Analysis
{fn(z)} be a sequence of analytic function in a domain D such that fn→f uniformly inD. Then fn’→f' uniformly in D . true/false and why
Complex Analysis
Suppose that f(z) is defined in the unit disk D such that (f(z))^2 and (f(z))^3 are analytic in D. prove or disprove that f(z) is analytic in D
Complex Analysis
True or False with explanation:-
1.The mean value theorem of a real-valued function of a real variable does not hold in general for complex-valued functions.
2.A real-valued function u in domain D cannot be analytic in D unless it is a constant function.
3.There exists a non-constant real-valued function u in open set D which is analytic in D.
4.A real-valued function u(x,y) is harmonic in D iff u(x,-y) is harmonic in D.
5.If f:D→D’ is analytic and u: D'→R is harmonic then the composition of u & f is harmonic inD.
6.{fn(z)} be a sequence of analytic function in a domain D such that fn→f uniformly inD. Then fn’→f' uniformly in D .
1.The mean value theorem of a real-valued function of a real variable does not hold in general for complex-valued functions.
2.A real-valued function u in domain D cannot be analytic in D unless it is a constant function.
3.There exists a non-constant real-valued function u in open set D which is analytic in D.
4.A real-valued function u(x,y) is harmonic in D iff u(x,-y) is harmonic in D.
5.If f:D→D’ is analytic and u: D'→R is harmonic then the composition of u & f is harmonic inD.
6.{fn(z)} be a sequence of analytic function in a domain D such that fn→f uniformly inD. Then fn’→f' uniformly in D .
Complex Analysis
Find all the 5 roots of the equation x^5 + 243 = 0 .
[ Give your answers in the form of r(cosθ + isinθ). ]
[ Give your answers in the form of r(cosθ + isinθ). ]
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