derivates relation tommy1729 Ultimate Fellow Posts: 1,852 Threads: 399 Joined: Feb 2009 08/22/2012, 10:53 PM i hope you dont mind this is not about tetration. let f(x) be a taylor series with radius 1 and f(0) = 1 f(x) is strictly positive real in [-1,1] and nondecreasing in [0,1]. f(x) = 1 + a1 x + a2 x^2 + ... f(x)^2 = 1 + b1 x + b2 x^2 + ... f(x)^(1/2) = 1 + c1 x + c2 x^2 + ... ( the 1 means we take the positive root ) find a_n such that b_n * c_n = 1 i recall that srinivasa ramanujan did similar investigations so maybe i missed something trivial. regards tommy1729 « Next Oldest | Next Newest »

 Possibly Related Threads… Thread Author Replies Views Last Post Constructing a real valued Fibonacci iteration--its relation to $$1/1+z$$ JmsNxn 7 828 08/13/2022, 12:05 AM Last Post: JmsNxn

Users browsing this thread: 1 Guest(s)