On the existence of -direction and Nevanlinna direction of -quasi-meromorphic mappings dealing with multiple values.

Xu, Hongyan; Zhan, Tang-Sen

Displaying similar documents to “On the existence of $T$ -direction and Nevanlinna direction of $K$ -quasi-meromorphic mappings dealing with multiple values.”

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Nevanlinna theory on the p-adic plane

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Let 𝕂 be a complete and algebraically closed non-Archimedean valued field. Following ideas of Marc Krasner and Philippe Robba, we define K-meromorphic functions from 𝕂 to 𝕂. We show that the Nevanlinna theory for functions of a single complex variable may be extended to those functions (and consequently to meromorphic functions).