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Remarks on generalized elliptic integrals

Published online by Cambridge University Press:  25 March 2009

Xiaohui Zhang ,
Gendi Wang  and
Yuming Chu
Xiaohui Zhang
Affiliation:
Department of Mathematics, Huzhou Teachers College, 313000 Huzhou, Zhejiang, People's Republic China (xhzhang@hutc.zj.cn; wgdi@hutc.zj.cn; chuyuming@hutc.zj.cn)
Gendi Wang
Affiliation:
Department of Mathematics, Huzhou Teachers College, 313000 Huzhou, Zhejiang, People's Republic China (xhzhang@hutc.zj.cn; wgdi@hutc.zj.cn; chuyuming@hutc.zj.cn)
Yuming Chu
Affiliation:
Department of Mathematics, Huzhou Teachers College, 313000 Huzhou, Zhejiang, People's Republic China (xhzhang@hutc.zj.cn; wgdi@hutc.zj.cn; chuyuming@hutc.zj.cn)
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Abstract

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We study the monotonicity for certain combinations of generalized elliptic integrals, thus generalizing analogous well-known results for classical complete elliptic integrals, and prove a conjecture put forward by Heikkala, Vamanamurthy and Vuorinen.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 2 , April 2009 , pp. 417 - 426
Copyright
Copyright © Royal Society of Edinburgh 2009