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Ramanujan常数的一些性质(英文) 被引量:1

Some Properties of the Ramanujan Constant
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摘要 该文通过研究一些由Ramanujan常数R(x)与其他初等函数的组合的单调性、凹凸性等分析性质,获得了R(x)的几个性质,并改进了R(x)满足的一些不等式。 In this paper,the authors present some new properties of the Ramanujan constant R(x) bystudying the monotoneity and concavity of certain functions defined in terms of R(x) and some elementaryfunctions.In addition,some inequalities satisfied by R(x) are obtained.
出处 《杭州电子科技大学学报(自然科学版)》 2007年第3期88-91,共4页 Journal of Hangzhou Dianzi University:Natural Sciences
基金 This work was supported by National 973 project of China(Grant No:2006CB708304)
关键词 Ramanujan常数 不等式 单调性 特殊函数 the Ramanujan constant inequalities monotoneity special functions
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参考文献14

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同被引文献8

  • 1Qiu S L,Vuorinen M.Duplication inequalities for the ratios of hypergeometric functions[J].Forum Math.,2000,12:109-133.
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  • 7裘松良.Grstzsch环与Ramanujan的模方程[J].数学学报(中文版),2000,43(2):283-290. 被引量:8
  • 8裘松良,赵叶华.广义椭圆积分的几个性质[J].杭州电子工业学院学报,2004,24(1):1-7. 被引量:5

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