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Analysis, Probability, Applications, and Computation pp 257–266Cite as

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p-Adic Nevanlinna Theory

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Abstract

After recalling the classical p-adic Nevanlinna theory, we describe the same theory in the complement of an open disk and examine various immediate applications: uniqueness, Picard’s values, branched values, small functions.

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Acknowledgements

The second named author is supported by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.04-2017.320 and Vietnam Institute Advanced Study in Mathematics.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Blaise Pascal, Université Clermont Auvergne, Aubière, France

    Alain Escassut

  2. Institute of Mathematics, Vietnam Academy of Science and Technology, Hanoi, Vietnam

    Ta Thi Hoai An

  3. Institute of Mathematics and Applied Sciences (TIMAS), Thang Long University, Hanoi, Vietnam

    Ta Thi Hoai An

Authors
  1. Alain Escassut
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  2. Ta Thi Hoai An
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Corresponding author

Correspondence to Alain Escassut .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Karl‐Olof Lindahl

  2. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Torsten Lindström

  3. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

  5. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Patrik Wahlberg

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Escassut, A., An, T.T.H. (2019). p-Adic Nevanlinna Theory. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_25

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