17 research outputs found
Value-sharing problem for p-adic meromorphic functions and their difference operators and difference polynomials
No full textWe discuss the value-sharing problem, versions of the Hayman conjecture, and the uniqueness problem for p-adic meromorphic functions, as well as their difference operators and difference polynomials.Дослiджено питання про спiльнi значення i єдинiсть та аналоги гiпотези Хеймена для p-адичних мероморфних функцiй та їх рiзницевих операторiв i рiзницевих полiномiв
HEIGHT OF p-ADIC HOLOMORPHIC FUNCTIONS AND APPLICATIONS : Dedicated to Professor S. Kobayashi on his 60-th birthday(HOLOMORPHIC MAPPINGS, DIOPHANTINE GEOMETRY and RELATED TOPICS : in Honor of Professor Shoshichi Kobayashi on his 60th Birthday)
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On the stability of unique range sets for meromorphic functions
No full textFor a set S we construct a complex space Z sub S such that S is a unique range set for meromorphic functions (URS) if and only if Z sub S is hyperbolic. A consequence of this result is that the set of URS with n elements (considered as a subset of C sup n) is open, and then the small deformations of Yi's and Frank-Reinders' sets are URS
