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The Pythagorean theorem and the Euclidean parallel postulate
Authors:Jingcheng Tong
Affiliation:Department of Mathematics and Statistics, University of North Florida, Jacksonville, FL 32224
Abstract:In this note, we develop new, simple and very accurate asymptotic approximations for non-integer order derivatives of monomial functions by using the more accurate asymptotic approximations for large factorials that have recently appeared in the literature.
Keywords:monomial functions  fractional derivative  gamma function  asymptotic approximation  Stirling's formula  Burnside's formula
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