AbstractIn this paper, we consider the q-difference equation (f(qz)+f(z))(f(z)+f(z/q))=R(z,f),$$ \bigl(f(qz)+f(z)\bigr) \bigl(f(z)+f(z/q)\bigr)=R(z,f), $$ where R(z,f)$R(z,f)$ is rational in f and meromorphic in z. It shows that if the above equation assumes… Click to show full abstract
AbstractIn this paper, we consider the q-difference equation (f(qz)+f(z))(f(z)+f(z/q))=R(z,f),$$ \bigl(f(qz)+f(z)\bigr) \bigl(f(z)+f(z/q)\bigr)=R(z,f), $$ where R(z,f)$R(z,f)$ is rational in f and meromorphic in z. It shows that if the above equation assumes an admissible zero-order meromorphic solution f(z)$f(z)$, then either f(z)$f(z)$ is a solution of a q-difference Riccati equation or the coefficients satisfy some conditions.
Keywords:
existence zero;
difference;
zero order;
meromorphic solutions;
order meromorphic
Journal Title: Journal of Inequalities and Applications
Year Published: 2018
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Journal Title: Journal of Inequalities and Applications
Year Published: 2018
Link to full text (if available)
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recommendations!