Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (1): 20-29.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.003
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Abstract: In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least (nk+2)/(n-1). If f(f(k))nand g(g(k))nshare z in D for each pair of functions f and g, then F is normal.
Key words: meromorphic function, fixed-points, shared value, normal criterion
CLC Number:
O174.52
YANG Qi. Normality Criteria of Meromorphic Functions Concerning Shared Fixed-points[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(1): 20-29.
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URL: https://sxjk.magtechjournal.com/EN/10.13371/j.cnki.chin.q.j.m.2015.01.003
https://sxjk.magtechjournal.com/EN/Y2015/V30/I1/20