Sharp estimates for Hübner’s upper bound function with applications |
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作者单位: | School of Science,Zhejiang Sci-Tech University,Hangzhou 310018,China |
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基金项目: | 国家重点基础研究发展规划(973计划),国家自然科学基金 |
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摘 要: | New better estimates, which are given in terms of elementary functions, for the function r → (2/π)(1 - r2)K(r)K (r) + log r appearing in Hübner's sharp upper bound for the Hersch-Pfluger distortion function are obtained. With these estimates, some known bounds for the Hersch-Pfluger distortion function in quasiconformal theory are improved, thus improving the explicit quasiconformal Schwarz lemma and some known estimates for the solutions to the Ramanujan modular equations.
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关 键 词: | 估计 上界 拟共形理论 应用 夏普 初等函数 偏差函数 amp |
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