Details van artikel 237 van 269 gevonden artikelen
Strong uniqueness polynomials: The complex case
Titel:
Strong uniqueness polynomials: The complex case
Auteur:
An, Ta Thi Hoai Wang, Julie Tzu-Yueh Wong, Pit-Mann
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 49 (2004) nr. 1 pagina's 25-54
Jaar:
2004-01-15
Inhoud:
The theory of strong uniqueness polynomials, satisfying the separation condition (first introduced by Fujimoto [H. Fujimoto (2000). On uniqueness of meromorphic functions sharing finite sets. Amer. J. Math., 122, 1175-1203.]), for complex meromorphic functions is quite complete. We construct examples of strong uniqueness polynomials which do not necessary satisfy the separation condition by constructing regular 1-forms of Wronskian type, a method introduced in Ref. [T.T.H. An, J.T.-Y. Wang and P.-M. Wong. Unique range sets and uniqueness polynomials in positive characteristic. Acta Arith. (to appear).] We also use this method to produce a much easier proof in establishing the necessary and sufficient conditions for a polynomial, satisfying the separation condition, to be a strong uniqueness polynomials for meromorphic functions and rational functions.
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 237 van 269 gevonden artikelen