transseries

T1R1A1N1S1S1E1R1I1E1S1

noun

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.

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Meanings

nountransseries (plural transseries)
  1. mathematicsA 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

Origin

Blend of transcendental + series.

Full word history & related roots →
Cite this entry
APA

transseries. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/transseries

MLA

“transseries.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/transseries. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “transseries,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/transseries.

Source: transseries on Wiktionary, CC BY-SA 4.0.