Let p a rational prime number. The paper is on the dynamics of p-adic entire functions. We prove results analogous to those known in complex dynamical system. In particular, for commuting entire transcendental functions, under the condition that they have a common periodical repulsive point, they have the same Julia and Fatou sets.
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Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China
Wang, XL
Yang, CC
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机构:
Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China