Research Problems in Function Theory (New Edition)

TL;DR

This paper presents a comprehensive updated edition of Hayman's classic collection of over 500 research problems in function theory and complex analysis, incorporating recent progress and community contributions over 51 years.

Contribution

It updates and expands Hayman's original problem collection with new problems, progress, and community input, making it a valuable resource for researchers.

Findings

Over 500 problems with recent updates

Community contributed new problems and corrections

Enhanced comprehensiveness and accuracy of the collection

Abstract

A new edition of Walter K. Hayman's 'Research Problems in Function Theory' (1967), containing over five hundred function theory and complex analysis problems, along with all progress updates over the last 51 years. The final publication will also include chapter prefaces by nine contributing authors. We are keen to make this work as useful to colleagues as possible, by making sure that it is as comprehensive and as accurate as can be. Therefore, the complex analysis community is please asked for help in: (i) identifying errors and omissions in this work; (ii) provided new problems in each of the nine chapters; (iii) telling other interested mathematicians about this work. Please send all errors/omissions/new problems to Eleanor Lingham (e.lingham@shu.ac.uk) by January 6th 2019 (Walter K. Hayman's 93rd birthday)