In this paper, we investigate the growth of solutions of a class of higher order linear differential equations with coefficients being gap series. In this case, we remove the condition that the order of coefficients i...In this paper, we investigate the growth of solutions of a class of higher order linear differential equations with coefficients being gap series. In this case, we remove the condition that the order of coefficients in equations is less than 1/2, and obtain some results which improve the previous results.展开更多
In this paper, we give some inclusions on a sort of subspaces of Bloch space, and prove these inclusions are sharp by use of the series with Hadamard gaps. The results containing some known results on Besov spaces and...In this paper, we give some inclusions on a sort of subspaces of Bloch space, and prove these inclusions are sharp by use of the series with Hadamard gaps. The results containing some known results on Besov spaces and Bloch space.展开更多
By the use of approximation method a general criterion of algebraic independence of complex numbers is established. As its application the algebraic independence of values of certain gap series at algebraic and transc...By the use of approximation method a general criterion of algebraic independence of complex numbers is established. As its application the algebraic independence of values of certain gap series at algebraic and transcendental points is given.展开更多
The algebraic independence of e^θ1,…,e^θs is proved, where θ1,… ,θs are certain gap series or power series of algebraic numbers, or certain transcendental continued fractions with algebraic elements.
基金the Youth Foundation of Education Bureau of Jiangxi Province (No. GJJ09463)the Science and Technology Foundation of Education Bureau of Jiangxi Province (No.GJJ08161)
文摘In this paper, we investigate the growth of solutions of a class of higher order linear differential equations with coefficients being gap series. In this case, we remove the condition that the order of coefficients in equations is less than 1/2, and obtain some results which improve the previous results.
文摘In this paper, we give some inclusions on a sort of subspaces of Bloch space, and prove these inclusions are sharp by use of the series with Hadamard gaps. The results containing some known results on Besov spaces and Bloch space.
基金Subject supported by the National Natural Science Foundation of China
文摘By the use of approximation method a general criterion of algebraic independence of complex numbers is established. As its application the algebraic independence of values of certain gap series at algebraic and transcendental points is given.
文摘The algebraic independence of e^θ1,…,e^θs is proved, where θ1,… ,θs are certain gap series or power series of algebraic numbers, or certain transcendental continued fractions with algebraic elements.
