%0 Journal Article %T The Factorizational Theory of Finite Asymptotic Expansions in the Real Domain: A Survey of the Main Results %A Antonio Granata %J Advances in Pure Mathematics %P 1-20 %@ 2160-0384 %D 2015 %I Scientific Research Publishing %R 10.4236/apm.2015.51001 %X

After studying finite asymptotic expansions in real powers, we have developed a general theory for expansions of type (*) $\"\"$ ,x ↙ x₀ where the ordered n-tuple $\"\"$ forms an asymptotic scale at x₀ , i.e. $\"\"$ as x ↙ x₀, 1 ≒ i ≒ n 每 1, %K Asymptotic Expansions %K Formal Differentiation of Asymptotic Expansions %K Factorizations of Ordinary Differential Operators %K Chebyshev Asymptotic Scales %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53067