transseries

noun

transseries

noun

Etymology Blend of transcendental + series.

1

Mathematics, Sciences A series (sequence of partial sums of a given sequence) in which members of the sequence from which the series is defined are defined by a transcendental function.

  • We develop here the algebra of the differential field of transseries and of related valued differential fields.2015, Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven, “Asymptotic Differential Algebra and Model Theory of Transseries”, in arXiv:

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