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August 26th, 2012, 03:19 AM  #1 
Newbie Joined: Aug 2012 Posts: 8 Thanks: 0  If f(z) is analytic in the domain 0<Re(z)<1, then show that
If f(z) is analytic in the domain 0<Re(z)<1, then show that 1) f(1z) is also analytic in the domain 0<Re(z)<1 2) f(z*) is analytic in the domain 0<Re(z)<1 Here z* is the conjugate of z. 
August 26th, 2012, 03:26 AM  #2 
Newbie Joined: Aug 2012 Posts: 8 Thanks: 0  Re: If f(z) is analytic in the domain 0<Re(z)<1, then show t
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.

August 26th, 2012, 05:49 AM  #3  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: If f(z) is analytic in the domain 0<Re(z)<1, then show t Quote:
This implies that f(1z) and f(z*) are also analytic in D. Balarka .  
August 26th, 2012, 08:09 AM  #4 
Newbie Joined: Aug 2012 Posts: 8 Thanks: 0  Re: If f(z) is analytic in the domain 0<Re(z)<1, then show t
Thank you very much for your kind reply


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