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Entire Solutions of the Second-Order Fermat-Type Differential-Difference Equation

In this work, we assume that the readers are familiar with general definitions and fundamental theories of Nevanlinna theory [1–3]. f is a meromorphic function which means f is meromorphic… Click to show full abstract

In this work, we assume that the readers are familiar with general definitions and fundamental theories of Nevanlinna theory [1–3]. f is a meromorphic function which means f is meromorphic in the finite complex plane C. If f has no poles, we call f is an entire function. We denote by S(r, f), any function satisfyingS(r, f) � o(T(r, f)), r⟶∞, outside of a possible exceptional set of finite logarithmic measure. For a meromorphic function f(z), we define its shift by fc(z) � f(z + c) and its difference operators by

Keywords: difference; solutions second; second order; order fermat; function; entire solutions

Journal Title: Journal of Mathematics
Year Published: 2020

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