Recent zbMATH articles in MSC 32A22https://www.zbmath.org/atom/cc/32A222021-04-16T16:22:00+00:00WerkzeugA uniqueness theorem for meromorphic functions concerning total derivatives in several complex variables.https://www.zbmath.org/1456.320032021-04-16T16:22:00+00:00"Xu, Ling"https://www.zbmath.org/authors/?q=ai:xu.ling"Cao, Tingbin"https://www.zbmath.org/authors/?q=ai:cao.tingbinThe authors prove the following theorem: Let \(f\) and \(g\) be two non-constant meromorphic functions on \(\mathbb{C}^{m}\) and \(k\) be a positive integer such that \(f\) and \(g\)
share \(0\) CM, \(D^{k}f\) and \(D^{k}g\) share \(\infty\) and \(1\) CM. If \(2\delta(0; f) + (k + 4)\Theta (\infty; f) > k + 5\), then \(D^{k}f - 1= c(D^{k}g - 1)\), where \(c (\neq 0, \infty)\) is a
constant and \(D^{k}f\) represents the \(k^{\text th}\) order total derivative of \(f\).
Reviewer: Indrajit Lahiri (Kalyani)Meromorphic solutions of generalized inviscid Burgers' equations and related PDEs.https://www.zbmath.org/1456.350092021-04-16T16:22:00+00:00"Lü, Feng"https://www.zbmath.org/authors/?q=ai:lu.fengSummary: The purposes of this paper are twofold. The first one is to describe entire solutions of certain type of PDEs in \(\mathbb{C}^n\) with the modified KdV-Burgers equation and modified Zakharov-Kuznetsov equation as the prototypes. The second one is to characterize entire and meromorphic solutions of generalized inviscid Burgers' equations in \(\mathbb{C}^2\).