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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 641 - 652 (12page)
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In this paper we study the problem of normal families of meromorphic func- tions concerning shared values. Let F be a family of meromorphic functions in the plane domain D ⊆ C and n, k be two positive integers such that n ≥ k + 1, and let a, b be two finite complex constants such that a ≠ 0. Suppose that (1) f + a(f(k))n and g + a(g(k))n share b in D for every pair of functions f, g ∈ F; (2) All zeros of f have multiplicity at least k + 2 and all poles of f have multiplicity at least 2 for each f in f ∈ F D; (3) Zeros of f(k)(z) are not the b points of f(z) for each f in F ∈ D. Then F is normal in D. And some examples are provided to show the result is sharp.
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참고문헌 (12)
참고문헌 신청
C. C. Yang. / 2003 / Uniqueness Theory of Meromorphic Functions / Science Press/Kluwer Academic
D. W. Meng. / 2011 / Normality criteria of meromorphic functons sharing one value / J. Math. Anal. Appl 381 : 724 ~ 731
G. Datt / 1305 / Normality of meromorphic functions with multiple zeros and poles / arXiv:1305.6214V1
H. H. Chen. / 1993 / An improvement of Marty criterion and its application / Sci China Ser A 36 : 674 ~ 681
H. K. Hayman / 1964 / Meromorphic functions / Clarendon
D. W. Meng. / 2011 / Normality criteria of meromorphic functons sharing one value / J. Math. Anal. Appl 381 : 724 ~ 731
G. Datt / 1305 / Normality of meromorphic functions with multiple zeros and poles / arXiv:1305.6214V1
H. H. Chen. / 1993 / An improvement of Marty criterion and its application / Sci China Ser A 36 : 674 ~ 681
H. K. Hayman / 1964 / Meromorphic functions / Clarendon
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