Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616907 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
In this paper, we establish several asymptotical bounds for the complete elliptic integrals of the second kind E(r)E(r), and improve the well-known conjecture E(r)>π[(1+(1−r2)3/4)/2]2/3/2E(r)>π[(1+(1−r2)3/4)/2]2/3/2 for all r∈(0,1)r∈(0,1) proposed by M. Vuorinen.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Miao-Kun Wang, Yu-Ming Chu,