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 ) <...
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| Principais autores: | , |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
SpringerOpen
2021-02-01
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| coleção: | Journal of Inequalities and Applications |
| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1186/s13660-021-02568-0 |
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