Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-06T18:01:56.643Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access Rights & Permissions [Opens in a new window]

Abstract

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)