Sharing set and normal families of entire functions and their derivatives

• Autores: Feng Lü, Junfeng Xu
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 34, Nº 4, 2008, págs. 1213-1224
• Idioma: inglés
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• Resumen

  • In this paper, we use the idea of sharing set to prove: Let F be a family of functions holomorphic in a domain, let a and b be two distinct complex numbers with a+b? 0. If for each f in F, f and f' share S={a, b} CM, then F is normal in D. As an application, we prove a uniqueness theorem