Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/normality-and-shared-values-concerning-differential-polynomial-Z58EgxjBgJ
References (9)
-
Wang Yao (1993)
On Mues Conjecture and Picard Values -
G. Frank (1976)
Eine Vermutung von Hayman über Nullstellen meromorpher FunktionenMathematische Zeitschrift, 149
-
Guan Yong (2009)
Normal Families and Shared Values of Meromorphic FunctionsJournal of Chongqing Normal University
-
X. Pang, L. Zalcman (2000)
Normal Families and Shared ValuesBulletin of the London Mathematical Society, 32
-
W. Schwick (1992)
Sharing values and normalityArchiv der Mathematik, 59
-
J. Langley (1996)
A lower bound for the number of zeros of a meromorphic function and its second derivativeProceedings of the Edinburgh Mathematical Society, 39
-
Mingliang Fang, L. Zalcman (2001)
Normal Families and Shared Values of Meromorphic Functions IIIComputational Methods and Function Theory, 2
-
Yuefei Wang, Mingliang Fang (1998)
Picard values and normal families of meromorphic functions with multiple zerosActa Mathematica Sinica, 14
-
J. Langley (1993)
Proof of a Conjecture of Hayman Concerning f and fJournal of The London Mathematical Society-second Series
- Publisher
- de Gruyter
- Copyright
- ©© de Gruyter 2011
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/gmj.2011.0020
- Publisher site
- See Article on Publisher Site
Abstract
Let ℱℱ be a family of meromorphic functions in a domain D ; let k ≥≥ 2 be a positive integer; and let a, b and c be complex numbers such that b ≠≠ 0 and a ≠≠ c . If, for each ƒƒ ∈∈ ℱℱ, all zeros of ƒƒ have multiplicity at least k , ƒƒ( z ) == a ⇔⇔ D (ƒƒ) == b , and D (ƒƒ) == 0 ⇒⇒ ƒƒ( z ) == c , where D (ƒƒ) is the differential polynomial of ƒƒ( z ), then ℱℱ is normal in D .
Journal
Georgian Mathematical Journal – de Gruyter
Published: Jun 1, 2011
Keywords: Normal families; meromorphic functions; shared values