Recent content by matheater

I have the sum: Let f:C-->C be analytic s.t f(1/n)=1/n^2,n=1,2,3... Then(out of 4 ans i am giving the correct one)f(z)=z^2 for all z in C The solution is done as follows: Let g(z)=z^2 for all z in C.Then f(z)=g(z) for all z in {1/n :n=1,2,3.}.since {1/n :n=1,2,3.} is an infinite set having...

but g(0)=0,how is this satisfying the criteria for being a pole?

Will anybody please tell me what is the statement of the "Uniqueness theorem" in Complex analysis??

Thank u very much for your kind help,but I couldn't understand the second answer,will u please explain it a bit more ?

I have the following problems (1)Consider the series ∑z^n,|z|<1 z is in C I thik this series is absolutely and uniformly comvergent since the series ∑|z|^n is con vergent for |z|<1,but I have a book saying that it is absolutely convergent,not uniformly...i am confused... (2)for the function...

Thank u very much,I am complete agree with u.

I have a question... "Is the quotient set of a set S relative to a equivalence relation on S a subset of S?" I suppose "no",since the each member of the quotient set is a subset of S and consequently it is a subset of the power set of S,but I have e book saying that "yes",I am a bit...