Thread Rating:
  • 1 Vote(s) - 5 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Look-alike functions.
#1
Consider the argument of An entire function within a unit radius.

If they are identical for 2 distinct entire function with that radius we call them " look-alike ".

For instance 2sinh(z+3) and exp(z+3) are look-alikes.

You might have noticed that all look-alikes to the above satisfy

F ' ' (z) = F(z).

So yes this relates to differential equations.

I think cauchy-riemann matters.

This is probably isomorphic to something well understood.


Regards

Tommy1729
Reply
#2
sinh(t) is defined in terms of exp(t). Why is it notable that they are similar sometimes?
Reply


Possibly Related Threads…
Thread Author Replies Views Last Post
  The weird connection between Elliptic Functions and The Shell-Thron region JmsNxn 1 265 04/28/2022, 12:45 PM
Last Post: MphLee
  Using a family of asymptotic tetration functions... JmsNxn 15 5,714 08/06/2021, 01:47 AM
Last Post: JmsNxn
  F " (x) = F(x) F(x-1) F(x-2) ... and the alike. tommy1729 0 2,879 09/19/2017, 09:06 PM
Last Post: tommy1729
  The AB functions ! tommy1729 0 3,385 04/04/2017, 11:00 PM
Last Post: tommy1729
  the inverse ackerman functions JmsNxn 3 10,243 09/18/2016, 11:02 AM
Last Post: Xorter
  Inverse power tower functions tommy1729 0 3,618 01/04/2016, 12:03 PM
Last Post: tommy1729
  [2014] composition of 3 functions. tommy1729 0 3,430 08/25/2014, 12:08 AM
Last Post: tommy1729
  Intresting functions not ? tommy1729 4 9,692 03/05/2014, 06:49 PM
Last Post: razrushil
  generalizing the problem of fractional analytic Ackermann functions JmsNxn 17 38,260 11/24/2011, 01:18 AM
Last Post: JmsNxn
  Discrete-analytic functions Ansus 4 9,532 07/30/2011, 04:46 PM
Last Post: tommy1729



Users browsing this thread: 1 Guest(s)