Treffer: Value sharing results for shifts of meromorphic functions

Title:
Value sharing results for shifts of meromorphic functions
Authors:
XUDAN LUO, LIN, Wei-Chuan
Source:
Journal of mathematical analysis and applications. 377(2):441-449
Publisher Information:
Amsterdam: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 13 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, Algèbre, Algebra, Algèbres et anneaux commutatifs, Commutative rings and algebras, Analyse mathématique, Mathematical analysis, 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, Condition suffisante, Sufficient condition, Condición suficiente, Fonction entière, Entire function, Función entera, Fonction méromorphe, Meromorphic function, Función meromorfa, Fonction répartition, Distribution function, Función distribución, Multiplicité, Multiplicity, Multiplicidad, Polynôme, Polynomial, Polinomio, Périodicité, Periodicity, Periodicidad, 13H15, 30Dxx, 32A20, Opérateur différence, Difference product, Uniqueness
Document Type:
Fachzeitschrift Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Fujian Normal University, Fuzhou 350007, Fujian Province, China
ISSN:
0022-247X
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=24016658
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.24016658
Database:
PASCAL Archive

Weitere Informationen

In this paper, we deal with the value distribution of difference products of entire functions, and present some result on two difference products of entire functions sharing one value with the same multiplicities. The research findings also include an analogue for shift of a well-known conjecture by Brück. Our theorems improve the results of I. Laine and C.C. Yang [I. Laine, C.C. Yang, Value distribution of difference polynomials, Proc. Japan Acad. Ser. A Math. Sci. 83 (2007) 148-151], K. Liu and L.Z. Yang [K. Liu, L.Z. Yang, Value distribution of the difference operator, Arch. Math. 92 (2009) 270-278], and J. Heittokangas et al. [J. Heittokangas, R. Korhonen, I. Laine, J. Rieppo, J.L. Zhang, Value sharing results for shifts of meromorphic function, and sufficient conditions for periodicity, J. Math. Anal. Appl. 355 (2009) 352-363]. Moreover, we show by illustrating a number of examples that our results are best possible in certain senses.