• On deviations and strong asymp...

Treffer: On deviations and strong asymptotic functions of meromorphic functions of finite lower order

Title:
On deviations and strong asymptotic functions of meromorphic functions of finite lower order
Authors:
CIECHANOWICZ, E, MARCHENKO, I. I
Source:
Journal of mathematical analysis and applications. 382(1):383-398
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 22 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions réelles, Real functions, Fonctions d'une variable complexe, Functions of a complex variable, Fonctions de plusieurs variables complexes et espaces analytiques, Several complex variables and analytic spaces, Analyse mathématique, Mathematical analysis, Análisis matemático, Fonction méromorphe, Meromorphic function, Función meromorfa, Fonction rationnelle, Rational function, Función racional, Polynôme, Polynomial, Polinomio, 26Cxx, 30Dxx, 32A20, Densité ensemble, Density set, Asymptotic function, Asymptotic spot, Logarithmic density
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
University of Szczecin, Poland
ISSN:
0022-247X
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=24285140
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.24285140
Database:
PASCAL Archive

Weitere Informationen

Let f be a transcendental meromorphic function of finite lower order with N(r, f) = S(r, f), and let qv be distinct rational functions, 1 ≤ v ≤ k. For 0 < γ < ∞ put The estimate of the lower and upper logarithmic density of the set is presented in the paper. For a transcendental meromorphic function f of finite lower order, the estimate of the lower and upper logarithmic density of the set is also presented, where pv are distinct polynomials and d := max1≤v≤k deg(pv). Moreover, the notions of strong asymptotic rational function and strong rational asymptotic spot are defined. The results for E(γ) and E(γ) are applied to obtain upper estimates of the number of strong asymptotic rational functions and strong rational asymptotic spots of meromorphic functions.