English term for "Nebenteil"

Question

In almost any German book on the theory of functions the term "Nebenteil" is used for the part of a Laurent series which has non-negative exponents. E. g., if the Laurent series $\sum_{\nu = -\infty }^\infty a_\nu z^\nu$ is given, the "Nebenteil" would be $$\sum_{\nu = 0}^\infty a_\nu z^\nu.$$

I know that the part $\sum_{\nu = -\infty}^{-1} a_\nu z^\nu$ is called principal part in English literature but what is the English term for "Nebenteil".

Thanks in advance.

Answer 1

A randomly selected old German math text (Otto Dziobek's 1910 Vorlesungen über Differential- und Integralrechnung at p170 uses Hauptteil and Nebenteil where I would use main term and remainder. (In discussing the definition of derivative, $f(x+dx) = f(x)$ plus an infinitesmal Nebenteil).