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Newsgroups: sci.math
From: "Dave L. Renfro" <renfr...@cmich.edu>
Date: 18 Mar 2006 10:03:21 -0800
Local: Sat, Mar 18 2006 1:03 pm
Subject: Ping: Jose Carlos Santos
I was sorting through some papers this morning and came
across your paper, co-authored with Gabriela Chaves, "Why some elementary functions are not rational" (Mathematics Magazine 77, 2004, 225-226). If you're interested, the following references also deal with various aspects of this topic. In particular, Speck proves that each of the elementary transcendental functions (trigonometric, exponential, and their inverses) differs from every algebraic function on every open interval. George P. Speck, "Elementary transcendental functions", Reprinted on pp. 80-82 of "A Century of Calculus: Part II Richard Wesley Hamming, "An elementary discussion of the Godfrey Harold Hardy, A COURSE OF PURE MATHEMATICS, James Pierpont, THE THEORY OF FUNCTIONS OF REAL VARIABLES, Dave L. Renfro You must Sign in before you can post messages.
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