Ritt’s second therorem and uniqueness problems for differential and q-difference polynomials of meromorphic functions in a non-Archimedean field

Authors

  • Ngoc Hoa Pham
  • Xuan Lai Nguyen

Keywords:

difference operators, Hayman conjecture, meromorphic functions, non-Archimedean field, Ritt’s decomposition

Abstract

In this paper, the authors consider linear composition polynomials of meromorphic functions in a non-Archimedean field of the form f n f(qz+c) and establish some versions of Ritt’s second theorem.

 

Classification number

1.1

Author Biographies

Ngoc Hoa Pham

Department of Mathematics, Hai Duong College

Xuan Lai Nguyen

Department of Mathematics, Hai Duong College

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Published

2019-06-25

Received: 29 June 2018; accepted: 14 August 2018

How to Cite

Pham , N. H., & Nguyen , X. L. (2019). Ritt’s second therorem and uniqueness problems for differential and q-difference polynomials of meromorphic functions in a non-Archimedean field. Version B of Vietnam Journal of Science and Technology, 61(6). Retrieved from https://b.vjst.vn/index.php/ban_b/article/view/182

Issue

Vol. 61 No. 6 (2019): Volume 61 - Number 6 - June 2019

Section

Natural Sciences