Abstract
In this paper, we study the properties of systems of two types of complex q-shift difference equations with meromorphic solutions from the point of view of Nevanlinna theory. Some results obtained in this paper improve and extend the previous theorems given by Gao, and five examples show the extension of solutions of the system of complex difference equation. MSC:39A50, 30D35.
Highlights
Introduction and main resultsIn this paper, the problem of the existence and growth of solutions of complex difference equations will be studied
The fundamental results and the standard notations of the Nevanlinna value distribution theory of meromorphic functions will be used in this paper
We investigated the extension of a meromorphic solution of the following system of complex q-shift difference equations of the form:
Summary
Introduction and main resultsIn this paper, the problem of the existence and growth of solutions of complex difference equations will be studied. A (z)f b (z)f ap(z)f p bq(z)f q where the coefficients are meromorphic functions, and obtained the following results.
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