| 一类复合整函数的亏量的进一步性质 |
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| 引用本文： | 孙建武. 一类复合整函数的亏量的进一步性质[J]. 四川大学学报(自然科学版), 2003, 40(4): 609-613 |
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| 作者姓名： | 孙建武 |
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| 作者单位： | 淮阴师范学院数学系,江苏淮阴,223001 |
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| 基金项目： | TheNaturalScienceFoundationoftheEducationDepartmentofJiangsuprovince(0 2KJD110 0 0 5 ) . |
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| 摘 要： | 设f和g是两个超越整函数,且T(r,f)=O*((logr)νe(log r)α),T(r,g)=O*((log r)β)(即存在4个正常数K1,K2和K3,K4,使有K1(T(r,f))/((logr)νe(log r)α)K2和K2(T(r,g))/((log r)β)K4).其中ν>0,0<α<1,β>1和αβ<1.则对任何a?瘙綒∞,有δ(a,f(g))=δ(a,f),这个结果改进了Goldstein的结果.
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| 关 键 词： | 超越整函数 复合 亏量 |
Further Properties on the Deficiencies of a Class of Composite Entire Functions |
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| Abstract. Further Properties on the Deficiencies of a Class of Composite Entire Functions[J]. Journal of Sichuan University (Natural Science Edition), 2003, 40(4): 609-613 |
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| Authors: | Abstract |
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| Abstract: | Let f and g are two transcendental entire function with T(r,f)=O*((log r)νe(log r)α )) and T(r,g)=O*((log r)β)(i.e.,there exists four positive constants K1,K2 and K3,K4 such that K1(T(r,f))/((log r)νe(log r)α )K2 and K3(T(r,g))/((log r)β)K4). where ν>0,0<α<1,β>1 and αβ<1. Then δ(a,f(g))=δ(a,f). for any value of a≠∞.Those result improves the result of Goldstein. |
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| Keywords: | transcendental entire function composite deficiencies |
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