• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Problem with cauchy method ? tommy1729 Ultimate Fellow Posts: 1,676 Threads: 368 Joined: Feb 2009 02/16/2015, 01:51 AM The Cauchy method has the property/condition (assum it works) : exp(f(-1 +ai)) = f(ai) exp(f(ai)) = f(1+ai) for real a. But is that sufficient to conclude f(z+1) = exp(f(z)) ? Compare to x sin(x/2 pi) for integer x. However the answer is YES ITS SUFFICIENT. Because exp(f(-1 +ai)) - f(ai) = 0 and then use analytic continuation. But what about the theta wave ? How do we know we arrive at a (unique) solution that is bounded in the strip ? regards tommy1729 « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post Is this the beta method? bo198214 3 32 Today, 04:18 AM Last Post: JmsNxn Describing the beta method using fractional linear transformations JmsNxn 5 112 08/07/2022, 12:15 PM Last Post: JmsNxn The Etas and Euler Numbers of the 2Sinh Method Catullus 2 136 07/18/2022, 10:01 AM Last Post: Catullus Tommy's Gaussian method. tommy1729 34 9,277 06/28/2022, 02:23 PM Last Post: tommy1729 The beta method thesis JmsNxn 9 1,295 04/20/2022, 05:32 AM Last Post: Ember Edison tommy beta method tommy1729 0 603 12/09/2021, 11:48 PM Last Post: tommy1729 The Generalized Gaussian Method (GGM) tommy1729 2 1,322 10/28/2021, 12:07 PM Last Post: tommy1729 Arguments for the beta method not being Kneser's method JmsNxn 54 16,015 10/23/2021, 03:13 AM Last Post: sheldonison tommy's singularity theorem and connection to kneser and gaussian method tommy1729 2 1,255 09/20/2021, 04:29 AM Last Post: JmsNxn Why the beta-method is non-zero in the upper half plane JmsNxn 0 785 09/01/2021, 01:57 AM Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)