In this paper, we consider the differential equation f''+ Af'+ Bf = 0, where A(z) and B(z) ≡ 0are entire functions. Assume that A(z) has a finite deficient value, then we will give some conditions on B(z)...In this paper, we consider the differential equation f''+ Af'+ Bf = 0, where A(z) and B(z) ≡ 0are entire functions. Assume that A(z) has a finite deficient value, then we will give some conditions on B(z)which can guarantee that every solution f ≡ 0 of the equation has infinite order.展开更多
In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B whi...In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.展开更多
In this paper, we mainly study zeros and poles of the forward differences △nf（z）, where f（z） is a finite order meromorphic function with two Borel exceptional values.
Value distribution theory is concerned with the position and frequency of solutions of the equation f(z) = a. Here f may be entire, i.e. an everywhere convergent power series or meromorphic, i.e. the ratio of two such...Value distribution theory is concerned with the position and frequency of solutions of the equation f(z) = a. Here f may be entire, i.e. an everywhere convergent power series or meromorphic, i.e. the ratio of two such series, or a function in some other domains, such as an angle or a disk. Yang Lo’s significant contributions to this area will be highlighted. Some of his important contributions to normal families will also be described.展开更多
Guided by Lo.Yang＇s method, we concern the question that how algebroid func- tions are determined by their multiple values and deficient values and we prove an at most 3v-valued theorem for algebroid functions. The r...Guided by Lo.Yang＇s method, we concern the question that how algebroid func- tions are determined by their multiple values and deficient values and we prove an at most 3v-valued theorem for algebroid functions. The results are complemented by an example for completeness.展开更多
文摘In this paper, we consider the differential equation f''+ Af'+ Bf = 0, where A(z) and B(z) ≡ 0are entire functions. Assume that A(z) has a finite deficient value, then we will give some conditions on B(z)which can guarantee that every solution f ≡ 0 of the equation has infinite order.
基金Supported by National Natural Science Foundation of China(Grant No.11171080)Foundation of Science and Technology Department of Guizhou Province(Grant No.[2010]07)
文摘In this paper, we consider the differential equation f＂ ＋ A（z）f＇ ＋ B（z）f = 0, where A and B= 0 are entire functions. Assume that A is extremal for Yang＇s inequality, then we will give some conditions on B which can guarantee that every non-trivial solution f of the equation is of infinite order.
基金Supported by National Natural Science Foundation of China(Grant No.11171119)
文摘In this paper, we mainly study zeros and poles of the forward differences △nf（z）, where f（z） is a finite order meromorphic function with two Borel exceptional values.
基金supported by National Natural Science Foundation of China (Grant Nos. 10671004, 10831004)the Doctoral Education Program Foundation of China (Grant No.20060001003)
文摘Value distribution theory is concerned with the position and frequency of solutions of the equation f(z) = a. Here f may be entire, i.e. an everywhere convergent power series or meromorphic, i.e. the ratio of two such series, or a function in some other domains, such as an angle or a disk. Yang Lo’s significant contributions to this area will be highlighted. Some of his important contributions to normal families will also be described.
基金partially supported by Natural Science Foundation of China(11271227)PCSIRT(IRT1264)
文摘Guided by Lo.Yang＇s method, we concern the question that how algebroid func- tions are determined by their multiple values and deficient values and we prove an at most 3v-valued theorem for algebroid functions. The results are complemented by an example for completeness.
