50 citations · 96 across the 11 of their papers we have counts for
11 papers
The history of three wrong definitions
Harold P. Boas
The topic is the history of the concepts of equivalence relation, Cauchy sequence, and metric space. The thesis is that disused definitions of these notions could profitably be rev…
Cauchy's residue sore thumb
Harold P. Boas
Cauchy's method from two centuries ago for computing integrals along the real axis by passing into the complex plane is not rigorous by present-day standards. Yet when properly for…
Mocposite functions
Harold P. Boas
Traditional mathematical notation can lead to confusion. Expressions that appear to define composite functions sometimes do not. A particular example with engineering applications…
Julius and Julia: Mastering the art of the Schwarz lemma
Harold P. Boas
This article discusses classical versions of the Schwarz lemma at the boundary of the unit disk in the complex plane. The exposition includes commentary on the history, the mathema…
Majorant Series
Harold P. Boas
This article discusses questions in one and several complex variables about the size of the sum of the moduli of the terms of the series expansion of a bounded holomorphic function…
Lu Qi-Keng's Problem
Harold P. Boas
This expository article, intended to be accessible to students, surveys results about the presence or absence of zeroes of the Bergman kernel function of a bounded domain in C^n. S…