Timeline for Analyticity of $f = Q(a\Re (x + y))Q(b\Im (x + y))\log \left\{ {Q(a\Re (x + y))Q(b\Im (x + y))} \right\}$ in the complex plane?

11 events

when toggle format	what		by	license	comment
Nov 4, 2020 at 20:08	comment	added	Samantha		@losif Pinellas, I posted a new question here link
Nov 4, 2020 at 18:50	history	edited	Iosif Pinelis	CC BY-SA 4.0	deleted 1 character in body
Nov 4, 2020 at 18:40	vote	accept	Samantha
Nov 4, 2020 at 18:34	comment	added	Iosif Pinelis		@Samantha : In your question, it was assumed that $a$ and $b$ are arbitrary real numbers. As such, your question has been fully answered (negatively). If you want to pursue this further and impose further conditions, then you should ask such additional questions in separate posts. Anyhow, as now shown in the edited answer, your function is not analytic for any real $a$ and $b$ unless $a=b=0$.
Nov 4, 2020 at 18:32	history	edited	Iosif Pinelis	CC BY-SA 4.0	added 67 characters in body
Nov 4, 2020 at 18:09	comment	added	Samantha		@losif Pinellas By looking at the equation, I think for non-zero $a$, $b$ both $\Im g(s,t)[=0]$=$\Re g(s,t)[=0]$ and will satisfy Cauchy Raman equations.. And Hence it will be analytic in the bounded complex plane. Am I right?
Nov 4, 2020 at 17:56	comment	added	Samantha		@losif Pinellas, if $a$ and $b$ both are positive (non-zero) can I say f is analytic on the complex plane?
Nov 4, 2020 at 14:13	history	edited	Iosif Pinelis	CC BY-SA 4.0	edited body
Nov 4, 2020 at 13:44	history	edited	Iosif Pinelis	CC BY-SA 4.0	added 75 characters in body
Nov 4, 2020 at 13:35	history	edited	Iosif Pinelis	CC BY-SA 4.0	added 75 characters in body
Nov 4, 2020 at 13:03	history	answered	Iosif Pinelis	CC BY-SA 4.0