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Further results about a special Fermat-type difference equation - MaRDI portal

Further results about a special Fermat-type difference equation (Q2305188)

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Further results about a special Fermat-type difference equation
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    Further results about a special Fermat-type difference equation (English)
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    10 March 2020
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    Summary: In this paper, we prove the difference equation \(F(z)^3+ \Delta_cF (z + c)^3 = 1\) does not have meromorphic solution of finite order over the complex plane \(\mathbb{C} \). We also discuss an application to the unique range set problem.
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    difference equations
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    meromorphic solutions
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