z-logo
open-access-imgOpen Access
Correction to the paper "On the second main theorem of Cartan"
Author(s) -
Alexandre Erëmenko
Publication year - 2015
Publication title -
annales academiae scientiarum fennicae mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.865
H-Index - 37
eISSN - 1798-2383
pISSN - 1239-629X
DOI - 10.5186/aasfm.2015.4030
Subject(s) - mathematics , computer science , information retrieval , calculus (dental) , medicine , orthodontics
To prove Theorem 2, we use the following two facts about the class F: 1. F is a differential ring [2]. This means that F is closed under addition, multiplication and differentiation. 2. All functions y ∈ F are entire functions of completely regular growth in the sense of Levin–Pfluger [4], with piecewise-trigonometric indicators, the notions which we recall now. Let f be a holomorphic function in an angular sector S = {re : |θ−θ0| 0}. We say that f has completely regular growth with respect to order ρ > 0 if the following finite limit exists

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom