On a Ahlfors-Denjoy Type Result

Roberto Contreras J., Arnoldo Bezanilla L.

Abstract


The present paper is concerned with the general problem of extending the classical theory of analytic functions of a Complex variable. The asymptotic behavior of power series defined on a Banach algebra with multiplicative functional or with a Gelfand theory is analyzed here and some lower estimates for the order of power series defined on this Banach algebras are given here.

Keywords


Ahlfors-Denjoy’s Theorem; Asymptotic elements; Power series; Banach algebras; Power series’ order

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References


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DOI: http://dx.doi.org/10.26713%2Fcma.v5i1.230

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