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math.CA2012★ 1 cited
Power series with Taylor coefficients of sum-product type and algebraic differential equations /SP-series and the interplay between their resurgence and differential properties
Shweta Sharma
The article is based on the differential properties of the inner generators (singularities) that occur while handling SP series (sum product series), power series whose Taylor coef…
math.CA2009
Power series with sum-product Taylor coefficients and their resurgence algebra
Jean Ecalle, Shweta Sharma
The present paper is devoted to power series of SP type, i.e. with coefficients that are syntactically sum-product combinations. Apart from their applications to analytic knot theo…