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The first aim of this paper is to investigate the growth of the entire function defined by the Laplace-Stieltjes transform converges on the whole complex plane.By introducing the concept of generalized order,we obtain two equivalence theorems of Laplace-Stiettjes transforms related to the generalized order,An*andλn.The second purpose of this paper is to study the problem on the approximation of this Laplace-Stieltjes transform.We also obtain some theorems about the generalized order,the error,and the coefficients of Laplace-Stieltjes transforms,which are generalization and improvement of the previous results. 相似文献
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本文研究了亚纯函数涉及重值分担小函数的唯一性问题, 通过构造辅助函数, 特别是通过深入分析计数函数, 我们得到一些结果, 所得结果推广了一些学者的已有成果. 相似文献
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