• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Introducing new special function : Lambert_t(z,r) tommy1729 Ultimate Fellow Posts: 1,640 Threads: 366 Joined: Feb 2009 03/12/2015, 01:11 PM (This post was last modified: 03/12/2015, 01:15 PM by tommy1729.) For reasons I will explain later , I need to introduce a new special function. Well some might have used it before or named it before , but most consider it nonstandard. For complex z , integer r : Lambert_t(z,r) is the functional inverse of ln^[r](z) z. regards tommy1729 "Proof means to show both "truth" and "why"." tommy1729 andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 01/10/2016, 09:12 AM (03/12/2015, 01:11 PM)tommy1729 Wrote: Lambert_t(z,r) is the functional inverse of ln^[r](z) z. I believe this is the same as Galidakis HW function. tommy1729 Ultimate Fellow Posts: 1,640 Threads: 366 Joined: Feb 2009 01/10/2016, 06:14 PM (This post was last modified: 01/10/2016, 06:15 PM by tommy1729.) (01/10/2016, 09:12 AM)andydude Wrote: (03/12/2015, 01:11 PM)tommy1729 Wrote: Lambert_t(z,r) is the functional inverse of ln^[r](z) z. I believe this is the same as Galidakis HW function. I do not think so. I believe HW is the functional inverse of functions like Z 2^(3^Z) And Z 5^(17^(55^Z)) Regards Tommy1729 « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post Fibonacci as iteration of fractional linear function bo198214 22 185 1 hour ago Last Post: bo198214 Constructing an analytic repelling Abel function JmsNxn 0 99 07/11/2022, 10:30 PM Last Post: JmsNxn A related discussion on interpolation: factorial and gamma-function Gottfried 9 17,690 07/10/2022, 06:23 AM Last Post: Gottfried A special equation : f^[t](x) = f(t x)/t tommy1729 6 362 06/17/2022, 12:16 PM Last Post: tommy1729 [MSE] Help on a special kind of functional equation. MphLee 4 1,767 06/14/2021, 09:52 PM Last Post: JmsNxn A Holomorphic Function Asymptotic to Tetration JmsNxn 2 1,782 03/24/2021, 09:58 PM Last Post: JmsNxn New mathematical object - hyperanalytic function arybnikov 4 7,515 01/02/2020, 01:38 AM Last Post: arybnikov Is there a function space for tetration? Chenjesu 0 2,588 06/23/2019, 08:24 PM Last Post: Chenjesu Degamma function Xorter 0 3,043 10/22/2018, 11:29 AM Last Post: Xorter Should tetration be a multivalued function? marraco 17 34,692 01/14/2016, 04:24 AM Last Post: marraco

Users browsing this thread: 1 Guest(s)