Work

Sharing complex small functions

Year: 2025

Type: article

Abstract: Small functions were defined in complex analysis together with the notions of order of growth and type of growth. Here we consider certain entire functions [Formula: see text], [Formula: see text] such that the logarithm of the maximum modulus is almost equivalent to the Nevanlinna characteristic and we construct an example where this equivalence is an equality. We show that if [Formula: see text] and [Formula: see text] satisfy certain property of equivalence and share 3 small entire functions with respect to [Formula: see text] and [Formula: see text], ignoring multiplicity, then [Formula: see text].

Source: Asian-European Journal of Mathematics

DOI: 10.1142/s1793557125501335

Author: Alain Escassut

Institutions: Centre National de la Recherche Scientifique, Université Clermont Auvergne, Laboratoire de Mathématiques Blaise Pascal

Language: English

Topic: Meromorphic and Entire Functions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415730530

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Cites: 6

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