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1999 SURVEY ON p-ADIC NEVANLINNA THEORY AND ITS APPLICATIONS TO DIFFERENTIAL EQUATIONS
Chung-Chun Yang, Pei-Chu Hu
Taiwanese J. Math. 3(1): 1-34 (1999). DOI: 10.11650/twjm/1500407052

Abstract

In this paper, we will give a brief survey on Nevanlinna theory of p-adic meromorphic functions and some of its applications. Also we will study p-adic meromorphic solutions of dierential equations, and show that some dierential equations have no admissible transcendental p-adic meromorphic solutions as in the complex-valued function cases.

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Chung-Chun Yang. Pei-Chu Hu. "SURVEY ON p-ADIC NEVANLINNA THEORY AND ITS APPLICATIONS TO DIFFERENTIAL EQUATIONS." Taiwanese J. Math. 3 (1) 1 - 34, 1999. https://doi.org/10.11650/twjm/1500407052

Information

Published: 1999
First available in Project Euclid: 18 July 2017

zbMATH: 0978.30020
MathSciNet: MR1676020
Digital Object Identifier: 10.11650/twjm/1500407052

Subjects:
Primary: 11D88 , 11E95
Secondary: 30D35

Keywords: $p$-adic meromorphic functions , Malmquist-type theorems , Nevanlinna theory

Rights: Copyright © 1999 The Mathematical Society of the Republic of China

Vol.3 • No. 1 • 1999
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