On entire solutions of two certain Fermat-type differential-difference equations (Q2186266)
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| Language | Label | Description | Also known as |
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| English | On entire solutions of two certain Fermat-type differential-difference equations |
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On entire solutions of two certain Fermat-type differential-difference equations (English)
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9 June 2020
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The entire solutions of the Fermat-type differential-difference equation \[ F^{n}+m \omega FG+G^{n}=e^{\alpha z+ \beta}, \;\; m,n \in \mathbb{Z}, \;\; m,n>0, \;\; \omega, \alpha, \beta \in \mathbb{C}, \;\; \omega \notin \{ 0,1 \} \] are investigated. The authors use Nevanlinna theory for proving their results.
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Fermat equations
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differential-difference equations
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entire solutions
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quadratic functional equations
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