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In this paper, we investigate the extent of the set on which the modulus of a meromorphic function is lower bounded by a term related to some Nevanlinna Theory functionals.
A. I. Shcherba estimate the size of the set on which the modulus of an entire function is lower bounded by 1. Our theorem in this paper shows that the same result holds in the case that the lower bound is replaced by lT(r,f), 0 ≤ l<1, which improves Shcherba's result. We also give a similar estimation for meromorphic functions.
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참고문헌 (8)
참고문헌 신청
A. Baernstein / 1973 / Proof of Edrei's conjecture / Proc. Lond. Math. Soc. 25 (3) : 418 ~ 434
A. Edrei / 1965 / Sums of deficiencies of meromorphic functions / J. Anal. Math. 14 : 79 ~ 107
A.A. Gol'dberg / 1978 / On the relationship between a defect and a deviations of a mero-morphic function / Teoriya Funktsii, Funkts. Analiz I Ikh Prilozh. 29 : 31 ~ 35
A.I. Shcherba / 1990 / On a set on which an entire function is lower bounded / Russian Math. Izvestiya VUZ. Matematika 34 (9) : 75 ~ 81
J. M. Anderson / 1978 / The size of the set on which a meromorphic function is large / Proc. Lond. Math. Soc. 36 (3) : 518 ~ 539
A. Edrei / 1965 / Sums of deficiencies of meromorphic functions / J. Anal. Math. 14 : 79 ~ 107
A.A. Gol'dberg / 1978 / On the relationship between a defect and a deviations of a mero-morphic function / Teoriya Funktsii, Funkts. Analiz I Ikh Prilozh. 29 : 31 ~ 35
A.I. Shcherba / 1990 / On a set on which an entire function is lower bounded / Russian Math. Izvestiya VUZ. Matematika 34 (9) : 75 ~ 81
J. M. Anderson / 1978 / The size of the set on which a meromorphic function is large / Proc. Lond. Math. Soc. 36 (3) : 518 ~ 539
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