Bulletin of the Belgian Mathematical Society - Simon Stevin

Non-Archimedean meromorphic solutions of functional equations

Pei-Chu Hu and Yong-Zhi Luan

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Abstract

We discuss meromorphic solutions of functional equations over non-Archimedean fields, and prove difference analogues of the Clunie lemma, Malmquist-type theorems and the Mokhon'ko theorem.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 23, Number 3 (2016), 373-383.

Dates
First available in Project Euclid: 6 September 2016

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1473186511

Mathematical Reviews number (MathSciNet)
MR3545458

Zentralblatt MATH identifier
06643009

Subjects
Primary: 11S80: Other analytic theory (analogues of beta and gamma functions, $p$-adic integration, etc.) 12H25: $p$-adic differential equations [See also 11S80, 14G20]
Secondary: 30D35: Distribution of values, Nevanlinna theory

Keywords
meromorphic solutions functional equations Nevanlinna theory

Citation

Hu, Pei-Chu; Luan, Yong-Zhi. Non-Archimedean meromorphic solutions of functional equations. Bull. Belg. Math. Soc. Simon Stevin 23 (2016), no. 3, 373--383. https://projecteuclid.org/euclid.bbms/1473186511


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