|
|
|
|
Volume 7, Issue 1, Article 21 |
|
|
|
|
|
|
A Note On the Accuracy of Ramanujan's Approximative Formula for the Perimeter of an Ellipse
|
|
|
Authors: |
Mark B. Villarino, |
|
|
|
Keywords:
|
Ramanujan's approximative formula, Best constants, Elliptic functions and integrals. |
|
|
|
Date Received:
|
27/06/05 |
|
|
|
Date Accepted:
|
19/11/05 |
|
|
|
Subject Codes: |
26D15, 33E05, 41A44.
|
|
|
|
Editors: |
Sever S. Dragomir, |
|
|
|
|
|
|
|
|
|
Abstract: |
We present a detailed error analysis, with best possible constants, of Ramanujan's most accurate approximation to the perimeter of an ellipse.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|