Atypical values of complex polynomial functions

Authors

  • Manuel García García Universitat de València

Keywords:

complex polynomials, atypical values, critical values

Abstract

Since 1983, with the work of Broughton, several conditions of regularity at infinity have been introduced for a complex polynomial f that guarantee the absence of critical values at infinity, that is, of atypical values of f that are not critical values. In this work we gather the most relevant regularity conditions and study the relationships between them. In particular, we answer two open questions proposed by Dûng Tráng Lê and J.J. Nuño-Ballesteros in [3].

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Published

2025-12-04

How to Cite

García García, M. (2025). Atypical values of complex polynomial functions. Reports@SCM, 10(1), 81–82. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/155900

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Section

Extended abstracts