Articles

NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH SHARED VALUES

  • Wei CHEN ,
  • Honggen TIAN ,
  • Peichu HU
Expand
  • 1. Department of Mathematics, Shandong University, Jinan 250100, China;
    2. School of Mathematics Science, Xinjiang Normal University, Urumqi 830054, China;
    3. Department of Mathematics, Shandong University, Jinan 250100, China

Received date: 2014-11-17

  Revised date: 2015-01-23

  Online published: 2016-01-30

Supported by

The second author was supported by Nature Science Foundation of China(11461070). The third author was supported by Nature Science Foundation of China(11271227); PCSIRT(IRT1264).

Abstract

We obtain some normality criteria of families of meromorphic functions sharing values related to Hayman conjecture, which improves some earlier related results.

Cite this article

Wei CHEN , Honggen TIAN , Peichu HU . NORMAL FAMILIES OF MEROMORPHIC FUNCTIONS WITH SHARED VALUES[J]. Acta mathematica scientia, Series B, 2016 , 36(1) : 87 -93 . DOI: 10.1016/S0252-9602(15)30080-1

References

[1] Beardon A F. Iteration of Rational Functions. New York:Springer-Verlag, 1991
[2] Carathéodory C. Theory of Functions of a Complex Variable, Vol Ⅱ. New York:Chelsea Pul Co, 1960
[3] Chen H H, Fang M L. On the distribution fnf'. Science in China, 1995, 38:121-127
[4] Fang M L, Yuan W J. On the normality for families of meromorphic functions. Indian J Math, 2001, 43(3):741-351
[5] Gu Y X. Normal Families of Meromorphic Functions. Chengdou:Sichuan Edu Press, 1988(in Chinese)
[6] Grahl J, Nevo S. On a result of singh and singh concerning shared values and normality. Complex Var Theory Appl, 2010, 55:347-356
[7] Hayman W K. Research Problems of Function Theory. London:Athlone Press, 1967
[8] Meng C. Normal Families and shared values of meromorphic functions. J Bull Math, 2008, 31(1):85-90
[9] Pang X C. On normal criterion of meromorphic functions. Sci China Ser A, 1990, 33:521-527
[10] Pang X C, Zalcman L. Normal families and shared values. Bull London Math Soc, 2000, 32:325-331
[11] Pang X C, Zalcman L. Normality and shared values. Ark Mat, 2000, 38:171-182
[12] Schiff J. Normal Families. Berlin:Springer-Verlag, 1993
[13] Singh A P, Singh A. Sharing values and normality of meromorphic fuctions. Complex Var Theory Appl, 2004, 49(6):417-425
[14] Zalcman L. Normal families:New perspectives. Bull Amer Math Soc, 1998, 35:215-230

Outlines

/