Recent content by zeraoulia

Homework Statement The **mean value theorem** says that there exists a $c∈(u,v)$ such that $$f(v)-f(u)=f′(c)(v-u).$$ Here is my question. Assume that $u$ is a root of $f$, hence we obtain $$f(v)=f′(c)(v-u);$$ assume that $f$ is a non-zero analytic function in the whole real line. We...

The **mean values theorem** says that there exists a $c∈(u,v)$ such that $$f(v)-f(u)=f′(c)(v-u)$$ My question is: Assume that $u$ is a root of $f$, hence we obtain $$f(v)=f′(c)(v-u)$$ Assume that $f$ is a non-zero analytic function in the whole real line. My interest is about the real $c∈(u,v)$...

Yes, I remark that if s is in D=0<re(s)<1, then s* and 1-s are alos in D.

f(z-bar)=f(z*) the image of the conjugate z* of z under f

If f(z) is analytic in the domain: 0<Re(z)<1 If f(z) is analytic in the domain: 0<Re(z)<1. Re(z) is the real part of z, then show that (1) f(z-bar) is also analytic in the domain: 0<Re(z)<1. z-bar is the conjugate of z (2) f(1-z) is also analytic in the domain: 0<Re(z)<1. I am not sure...

Can one tel me about this problem: Let us consider the series (sum an/n*s) if the coffecient an is depend on s, then it is true to consider this serie as a Dirichlet serie or not.

Thank you very much Chiro

Do you know where f(z) is analytic? Yes, f(z) is analytic in the domain: 0<Re(z)<1. Re(z) is the real part of z.

if the function f(z*) is analytic if the function f(z) is analytic Hi, there I ask if the function f(z*) is analytic if the function f(z) is analytic. Here z* is the complex conjugate of z and f: A---C the complex plane.