Hi.
I saw this really interesting 1-page preview from 1969(!):
http://www.jstor.org/pss/2004405
where it mentions methods and tables for the evaluation of a function "F(x)" such that "F(0) = 0", "F(1) = 1", "F(2) = e", "\( F(e) = e^e \)" -- look familiar? Yeah, it's the tetrational function, just offset by 1. And they mention about evaluating it at fractional values, and also reference another work which supposedly contains another extension giving different values. I wonder, did they get 1.646354... for \( ^{1/2} e \)?
However it costs $24 to get the full article from this site
If anyone has any access to this (like at an academic library), would they be interesting in checking it out? Based on what it says, I'm not sure if the tables are included here or not since it looks to reference something else containing the tables called "Tables for Continuously Iterating the Exponential and Logarithm".
I saw this really interesting 1-page preview from 1969(!):
http://www.jstor.org/pss/2004405
where it mentions methods and tables for the evaluation of a function "F(x)" such that "F(0) = 0", "F(1) = 1", "F(2) = e", "\( F(e) = e^e \)" -- look familiar? Yeah, it's the tetrational function, just offset by 1. And they mention about evaluating it at fractional values, and also reference another work which supposedly contains another extension giving different values. I wonder, did they get 1.646354... for \( ^{1/2} e \)?
However it costs $24 to get the full article from this site
If anyone has any access to this (like at an academic library), would they be interesting in checking it out? Based on what it says, I'm not sure if the tables are included here or not since it looks to reference something else containing the tables called "Tables for Continuously Iterating the Exponential and Logarithm".