transseries

English

Etymology

Blend of transcendental +‎ series

Noun

transseries (plural transseries)

1. (mathematics) 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.
   • 2015, Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven, “Asymptotic Differential Algebra and Model Theory of Transseries”, in arXiv‎^[1]:

     We develop here the algebra of the differential field of transseries and of related valued differential fields.