Properties of Elliptic Integrals and Their Generalizations |
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| Authors: | ZHANGXiao-hui QIUSong-fiang |
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| Affiliation: | SchoolofScience,HangzhouDianziUniversity,ZhejiangHangzhou310018,China |
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| Abstract: | In this paper, a conjecture put forward by G. D. Anderson, S.-L. Qiu and M. K. Vamanamurthy in 1995 and concerning elliptic integrals is proved to be true, and some monotoneity and onvexity properties of certain combinations of generalized elliptic integrals are obtained. |
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| Keywords: | generalized elliptic integrals monotoneity convexity conjecture proof |
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