03/02/2010, 02:33 AM
Hello Tetration Forum.
I'm interested in the second order tetration function, x^x. The integral from 0 to 1 of this function is called the Sophomore's Dream. I was wondering which papers, journals, etc cover either the function or its integral. I've read the respective sections in Dunham as well as Bailey and Borwein, but it's difficult to search for because "x^x" in google scholar just returns everything with "xx," and sophomore's dream just brings up poetry and the like.
Most of the articles on tetration by Galidakis, Kouznetsov, etc are about iterative properties and analytical extension, but not really about the function I'm interested in.
Does anyone have some papers in mind, or know which journal to browse through?
Thanks
I'm interested in the second order tetration function, x^x. The integral from 0 to 1 of this function is called the Sophomore's Dream. I was wondering which papers, journals, etc cover either the function or its integral. I've read the respective sections in Dunham as well as Bailey and Borwein, but it's difficult to search for because "x^x" in google scholar just returns everything with "xx," and sophomore's dream just brings up poetry and the like.
Most of the articles on tetration by Galidakis, Kouznetsov, etc are about iterative properties and analytical extension, but not really about the function I'm interested in.
Does anyone have some papers in mind, or know which journal to browse through?
Thanks