Title of article
Asymptotical bounds for complete elliptic integrals of the second kind
Author/Authors
Wang، نويسنده , , Miao-Kun and Chu، نويسنده , , Yu-Ming، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
8
From page
119
To page
126
Abstract
In this paper, we establish several asymptotical bounds for the complete elliptic integrals of the second kind E ( r ) , and improve the well-known conjecture E ( r ) > π [ ( 1 + ( 1 − r 2 ) 3 / 4 ) / 2 ] 2 / 3 / 2 for all r ∈ ( 0 , 1 ) proposed by M. Vuorinen.
Keywords
Elliptic integrals , Monotonicity , Toader mean
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563510
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