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Picturing the Growth Order of Solutions in Complex Linear Differential–Difference Equations with Coefficients of φ-Order
- Source :
- Axioms, Vol 12, Iss 3, p 239 (2023)
- Publication Year :
- 2023
- Publisher :
- MDPI AG, 2023.
-
Abstract
- Given an unbounded non-decreasing positive function φ, we studied what the relations are between the growth order of any solution of a complex linear differential–difference equation whose coefficients are entire or meromorphic functions of finite φ-order. Our findings extend some earlier well-known results.
- Subjects :
- Nevanlinna
complex solution
growth order
complex linear ODE
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 12
- Issue :
- 3
- Database :
- Directory of Open Access Journals
- Journal :
- Axioms
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.50f13926002148388a4e13f67f12f49f
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/axioms12030239