Sectorial oscillation of linear differential equations and iterated order.

Wu, Zhao-Jun; Sun, Dao-chun

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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).