
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 19th, 2018, 06:50 PM  #1 
Newbie Joined: Oct 2017 From: sweden Posts: 20 Thanks: 0  Complex root problem
This seems pretty easy, but I cannot seem to have a possible solution for it and it goes: **PROBLEM**: If $a>e$, show that the equation $e^z = az^n$ has $n$ solutions inside the unit circle. Can someone show me how to do these roots problems formally so I can follow up and continue other problems? I would appreciate the help. ( Im studying for my finals atm so I dont have much time to spend each time thinking about problems I am stuck at so I ask for help here). 
April 19th, 2018, 07:27 PM  #2 
Senior Member Joined: Sep 2016 From: USA Posts: 417 Thanks: 231 Math Focus: Dynamical systems, analytic function theory, numerics 
This is a straight forward application of Rouche's theorem.


Tags 
complex, problem, root 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
square root of a complex number  bonildo  Calculus  6  December 20th, 2015 11:34 PM 
How to solve square root of complex number  yaantey  Complex Analysis  6  December 17th, 2013 03:05 AM 
Help on creating quadratic equation with complex number root  rokr32  Algebra  13  October 2nd, 2011 12:01 PM 
square root of a complex number  grandia3  Algebra  2  March 7th, 2009 02:05 AM 
Root of Complex Hyperbolic Trig Function  elitist  Complex Analysis  1  November 23rd, 2008 10:56 AM 