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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Format: | Article |
Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2010-01-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
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Online Access: | https://dmtcs.episciences.org/520/pdf |