A Note on Some Riccati Differential Equations
We present some existence results on meromorphic solutions of the complex Riccati differential equations of type $$f(z)^{2}+af(z)+q(z)e^{Q(z)}f^{\prime}(z)=0,$$ where $$a$$ is a constant, $$q(z)$$ is a nonzero small function of $$e^{Q(z)}$$ and $$Q(z)$$ is a nonconstant polynomial.
Authors
- Ilpo Laine (ORCID: https://orcid.org/0000-0002-9530-4386)
- K. Liu
Institutions
- Nanchang University (CN)
- University of Eastern Finland (FI)
Publication Details
- Journal
- Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
- Published
- 2024-10-01
- DOI
- https://doi.org/10.3103/s1068362324700286
- Primary Topic
- Meromorphic and Entire Functions
- Type
- article
- Field-Weighted Citation Impact
- 0.00