Normal families of meromorphic functions and share

Authors: Xiangzhong Wu Yan Xu

Publish Date: 2010/12/29

Volume: 165, Issue: 3-4, Pages: 569-578

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Abstract

Let k be a positive integer b ≠ 0 be a finite complex number let P be a polynomial with either deg P ≥ 3 or deg P = 2 and P having only one distinct zero and let mathcalF be a family of functions meromorphic in a domain D all of whose zeros have multiplicities at least k If each pair of functions f and g in mathcalF Pffk and Pgg k share b in D then mathcalF is normal in D

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