The Factorizational Theory of Finite Asymptotic Expansions in the Real Domain: A Survey of the Main Results
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53067#.VLST18nQrzE Author(s) Antonio Granata * Affiliation(s) Dipartimento di Matematica e Informatica, Università della Calabria, Cosenza, Italy . ABSTRACT <span "="">After studying finite asymptotic expansions in real powers, we have developed a general theory for expansions of type (*) , x → x 0 <span "=""><span "=""> where the ordered n -tuple forms an asymptotic scale at x 0 <span "="">, i.e . <span "=""> as x → x 0 , 1 ≤ i ≤ n – 1, and is practically assumed to be an extended complete Chebyshev system on a one-sided neighborhood of x o . As in previous papers by the author concerning polynomial, real-power and two-term theory, the locution “factorizational theory” refers to the special approach based on various types of factorizations of a differential operator ...