期刊文献+

广义η-偏差函数的一些性质(英文)

Some Properties of the Generalized η-Distortion Function
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摘要 将η-偏差函数ηK(t)和线性偏差函数λ(K)的几个结果推广到了广义η-偏差函数ηK(a,t)和广义线性偏差函数λ(a,K),并得到了它们满足的几个不等式。 In this paper,the authors extend some known results for the η-distortion function ηK(t) and linear distortion function λ(K) to the generalized η-distortion function ηK(a,t) and generalized linear distortion function λ(a,K),and obtain some inequalities for these functions.
出处 《浙江理工大学学报(自然科学版)》 2010年第5期842-847,共6页 Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金 supported by the NSF of China (10771195)
关键词 单调性 凸凹性 偏差函数 不等式 monotonicity convexity distortion function inequality
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参考文献8

  • 1Borwein J M,Borwein P B.Pi and the AGM[M].New York:John Wiley & Sons,1987.
  • 2Anderson G D,Qiu S L,Vamanamurthy M K,et al.Generalized elliptic integrals and modular equations[J].Pacific J Math,2000,1:1-37.
  • 3Qiu S L,Vuorinen M.Quasimultiplicative properties for the η-distortion function[J].Complex Variables,1996,30:77-96.
  • 4Vamanamurthy M K,Vuorinen M.Function inequalities,Jacobi products,and quasiconformal maps[J].Illinois J Math,1994,38:394-419.
  • 5Anderson G D,Qiu S L,Vuorinen M.Modular equation and distortion function[J].Ramanujan J,2009,18:147-169.
  • 6Qiu S L,Vuorinen M.Handbook of Complex Analysis:Geometric Function Theory[M].Elsevier B V,2005:621-659.
  • 7Anderson G D,Vamanamurthy M K,Vuorinen M.Inequalities for the quasiconformal mappings in space[J].Pacific J Math,1993,160:1-18.
  • 8Qiu S L,Vuorinen M.Infinite products and normalized quotients of hypergeometric function[J].SIAM J Math Anal,1999,30:1057-1075.

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