Recent content by vijigeeths

I tried to prove this by applying Liouville's theorem to f/g. it is clear that f/g is bounded. and f/g is analytic except at the zeros of g. if z1 is a zero of g its a zero of f also. and if multiplicity of z1 as a zero of g will be less than or equal to multiplicity of z1 as a zero of f. i got...

If f and g are two entire functions such that mod(f(z)) <= mod(g(z)) for all z in C, prove that f=cg for some complex constant c.

pardon me..i couldn't find out the option "new topic".

can anyone of you explain how to post a new quesion to the forum.i am new to this.