On the equation fn + (f″)m ≡ 1
Let nn and mm be two positive integers, and the second-order Fermat-type functional equation fn+(f″)m≡1{f}^{n}+{({f}^{^{\prime\prime} })}^{m}\equiv 1 does not have a nonconstant meromorphic solution in the complex plane, except (n,m)∈{(1,1),(1,2),(1,3),(2,1),(3,1)}\left(n,m)\in \left\{\left(1,1),\le...
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-12-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | https://doi.org/10.1515/dema-2023-0103 |