Article ID Journal Published Year Pages File Type
839623 Nonlinear Analysis: Theory, Methods & Applications 2015 9 Pages PDF
Abstract

We analyze the conditions on the Taylor coefficients of an analytic function to admit global analytic continuation, complementing a recent paper of Breuer and Simon on general conditions for natural boundaries to form. A new summation method is introduced to convert a relatively wide family of infinite sums and local expansions into integrals. The integral representations yield global information such as analytic continuability, position of singularities, asymptotics for large values of the variable and asymptotic location of zeros.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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