Existence of zero-order meromorphic solutions of certain q-difference equations
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DOI: 10.1186/s13660-018-1790-z
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… read more here.
Keywords: existence zero; difference; zero order; meromorphic solutions ... See more keywords