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- Title
Cuatro variaciones sobre el teorema de Picard.
- Authors
González Llorente, José; ARANDA BALLESTEROS, FLORENTINO DAMIÁN
- Abstract
The article "Four variations on the Picard's theorem" by José González Llorente explores the connections between Picard's theorem and other areas of mathematics. It proposes four variations that explore connections with normal families, functional equations, minimal surfaces, and a recent interpretation in terms of the range of harmonic mappings. The text presents mathematical results related to the theory of functions and the theory of minimal surfaces, as well as proofs and demonstrations of these results. The works of Rickman and Lewis on Picard's theorem for quasiregular functions and harmonic functions, respectively, are also mentioned. The article concludes with a theorem that provides a geometric explanation for Lewis' theorem in relation to harmonic functions.
- Subjects
HARMONIC functions; MATHEMATICS theorems; COMPLEX variables; HARMONIC maps; FUNCTIONAL equations; MATHEMATICS; MINIMAL surfaces; FAMILIES; MATHEMATICS education
- Publication
Gaceta de la Real Sociedad Matematica Espanola, 2023, Vol 26, Issue 2, p279
- ISSN
1138-8927
- Publication type
Article