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Abstract

Let f be a formal power series in one variable
$$f(t) = \sum\limits_{i = 0}^\infty {{c_i}} {t^i},\;{c_i} \in \mathbb{R}$$
This is a formal equality in the sense that if the series on the right-hand side converges for some t then f(t) is equal to its sum; if the series diverges f represents its analytic continuation (assumed to exist). In the sequel we shall only be dealing with formal power series and formal equalities which means that the series developments of both sides of an equality are the same.

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Copyright information

© Springer Basel AG 1980

Authors and Affiliations

  • Claude Brezinski

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