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Simultaneous approximation of modulus and values of
Jacobi elliptic functions (in Ukrainian) |
| Author |
Ya. M. Kholyavka
ya_khol@franko.lviv.ua
Ivan Franko National University of L'viv
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| Abstract |
Let $\operatorname{sn}_i z$ be algebraically independent Jacobi elliptic
functions, $(4K_i,2iK'_i)$ be main periods and $\varkappa_1, \varkappa_2$
be their moduli $\operatorname{sn}_i z$ ($i\in\{1,2\}$). We estimate from below the
simultaneous approximation $\varkappa_1, \varkappa_2, \operatorname{sn}_1
K_2, \operatorname{sn}_2i K'_1$. |
| Keywords |
simultaneous approximation; Jacobi elliptic function |
| Reference |
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| Pages |
10-15 |
| Volume |
39 |
| Issue |
1 |
| Year |
2013 |
Journal |
Matematychni Studii |
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