Acta mathematica scientia,Series A
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Wang Gendi; Zhang Xiaohui; Chu Yuming; Qiu Songliang
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Abstract: The authors establish the relationship between Hersch-pfluger distortion function ψK(r) and the second kind complete elliptic integral ε(r). By studying the monotonicity and convexity of complete elliptic integrals, the authors obtain inequalities for the complete elliptic integrals and sharp bounds for the Hersch-Pfluger distortion function.
Key words: Complete elliptic integral, Distortion function, Modular equation, Hǔbner’s inequality
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Wang Gendi; Zhang Xiaohui; Chu Yuming; Qiu Songliang. The Complete Elliptic Integrals and Hersch-Pfluger Distortion Function[J].Acta mathematica scientia,Series A, 2008, 28(4): 731-734.
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http://121.43.60.238/sxwlxbA/EN/Y2008/V28/I4/731
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