, Volume 95, Issue 1, pp 389-395

Normal families and fixed points

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Abstract

LetF be a family of meromorphic functions in a domainD and letk≥2 be a positive integer. If, for everyfF, itsk-th iteratef k has no fixed point inD, thenF is normal inD.

Supported by the NNSF of China (Grant No. 10471065), the SRF for ROCS, SEM., and the Presidential Foundation of South China Agricultural University.