A divergent generating function that can be summed and analysed analytically

We study a recurrence relation, originating in combinatorial problems, where the generating function, as a formal power series, satisfies a differential equation that can be solved in a suitable domain; this yields an analytic function in a domain, but the solution is singular at the origin and the...

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Bibliographic Details
Main Author: Svante Janson
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2010-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/520/pdf