A note on the functional equation \(f^{n}+g^{n}+h^{n}\)=1 and some complex differential equations

DOI10.1007/BF03321010zbMath1038.30016WikidataQ115390828 ScholiaQ115390828MaRDI QIDQ1409776

Katsuya Ishizaki

Publication date: 22 October 2003

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Functional equations for complex functions (39B32)

Related Items (8)

Research questions on meromorphic functions and complex differential equations ⋮ On Gundersen's solution to the Fermat-type functional equation of degree 6 ⋮ On entire solutions of two certain Fermat-type differential-difference equations ⋮ Entire and meromorphic solutions of the functional equation \(f^n+g^n+h^n=1\) and differential equations ⋮ On the equation \(f^n + (f^{\prime\prime})^m \equiv 1\) ⋮ On generalized Fermat type functional equations ⋮ On meromorphic solutions of functional equations of Fermat type ⋮ Restrictions on meromorphic solutions of Fermat type equations

Cites Work

• Meromorphic solutions of
• MEROMORPHIC SOLUTIONS OF ƒ6+g6 +h6≡1
• On the equation 𝑓ⁿ+𝑔ⁿ=1
• On the functional equation \[ \sum_{i=0}^ p a_ i f_ i^{n_ i} = 1 \]
• Unnamed Item
• Unnamed Item

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