Iteration with two analytic fixed points bo198214 Administrator Posts: 1,616 Threads: 102 Joined: Aug 2007 11/06/2022, 12:57 PM As to MR0729400 S. Dubuc, Étude théorique et numérique de la fonction de Karlin-McGregor, J. Analyse Math. 42 (1982/83), 15–37. I renewed my alumni library access, however they would not grant me online access to https://link.springer.com/article/10.1007/BF02786869 (you know all this licensing stuff that would fill the pockets of the publishers) So I had to walk the old fashioned way - to the journals in paper - and photographed the article. Its in single pages - you could use something like google Lens to translate it into your native language. However, after reading the article, it rather explaines why the differences between the regular iterates of real neighboring fixed points are so small, instead of giving an overview which functions have different iterates and which don't. Here are the pages: Attached Files Thumbnail(s)                                                                             MphLee Long Time Fellow Posts: 373 Threads: 29 Joined: May 2013 11/06/2022, 07:43 PM (11/06/2022, 12:57 PM)bo198214 Wrote: As to MR0729400 S. Dubuc, Étude théorique et numérique de la fonction de Karlin-McGregor, J. Analyse Math. 42 (1982/83), 15–37. I renewed my alumni library access, however they would not grant me online access to https://link.springer.com/article/10.1007/BF02786869 (you know all this licensing stuff that would fill the pockets of the publishers) So I had to walk the old fashioned way - to the journals in paper - and photographed the article. mhhh about "pockets" and "old fashioned way"...  I tried to search for those keywords into wikipedia and I got this weird page... I wonder what it means If you know what I mean. https://it.wikipedia.org/wiki/Library_Genesis If you need some rare pearl... you might want to PM me. MSE MphLee Mother Law $$(\sigma+1)0=\sigma (\sigma+1)$$ S Law $$\bigcirc_f^{\lambda}\square_f^{\lambda^+}(g)=\square_g^{\lambda}\bigcirc_g^{\lambda^+}(f)$$ JmsNxn Ultimate Fellow Posts: 1,178 Threads: 123 Joined: Dec 2010 11/27/2022, 06:53 AM (11/06/2022, 07:43 PM)MphLee Wrote: (11/06/2022, 12:57 PM)bo198214 Wrote: As to MR0729400 S. Dubuc, Étude théorique et numérique de la fonction de Karlin-McGregor, J. Analyse Math. 42 (1982/83), 15–37. I renewed my alumni library access, however they would not grant me online access to https://link.springer.com/article/10.1007/BF02786869 (you know all this licensing stuff that would fill the pockets of the publishers) So I had to walk the old fashioned way - to the journals in paper - and photographed the article. mhhh about "pockets" and "old fashioned way"...  I tried to search for those keywords into wikipedia and I got this weird page... I wonder what it means If you know what I mean. https://it.wikipedia.org/wiki/Library_Genesis If you need some rare pearl... you might want to PM me. Pretty nice in the Caribbean, think I saw Jack Sparrow. Ah, I stubbed my toe! ARRRRR!!!! « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post double functional equation , continuum sum and analytic continuation tommy1729 6 184 03/05/2023, 12:36 AM Last Post: tommy1729 Qs on extension of continuous iterations from analytic functs to non-analytic Leo.W 18 2,725 09/18/2022, 09:37 PM Last Post: tommy1729 The Different Fixed Points of Exponentials Catullus 22 2,736 07/24/2022, 12:22 PM Last Post: bo198214 Quick way to get the repelling fixed point from the attracting fixed point? JmsNxn 10 1,509 07/22/2022, 01:51 AM Last Post: JmsNxn Constructing an analytic repelling Abel function JmsNxn 0 443 07/11/2022, 10:30 PM Last Post: JmsNxn Is tetration analytic? Daniel 6 890 07/08/2022, 01:31 AM Last Post: JmsNxn Two Attracting Fixed Points Catullus 4 759 07/04/2022, 01:04 PM Last Post: tommy1729 Fractional iteration of x^2+1 at infinity and fractional iteration of exp bo198214 17 31,592 06/11/2022, 12:24 PM Last Post: tommy1729 Brute force tetration A_k(s) is analytic ! tommy1729 9 4,842 03/22/2021, 11:39 PM Last Post: JmsNxn Nixon-Banach-Lambert-Raes tetration is analytic , simple and “ closed form “ !! tommy1729 11 6,736 02/04/2021, 03:47 AM Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)