Some Padé approximations and inequalities for the complete elliptic integrals of the first kind
Abstract In this paper, we present Padé approximations of some functions involving complete elliptic integrals of the first kind K ( x ) $K(x)$ , and motivated by these approximations we also present the following double inequality: 1 − x 2 1 − x 2 + x 4 62 < 2 e 2 π K ( x ) − 1 ( 1 + 1 1 − x 2 )...
| الحاوية / القاعدة: | Journal of Inequalities and Applications |
|---|---|
| المؤلفون الرئيسيون: | , |
| التنسيق: | مقال |
| اللغة: | الإنجليزية |
| منشور في: |
SpringerOpen
2021-02-01
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.1186/s13660-021-02568-0 |
