On zeroes of the polynomials of elliptic Jacobi functions
An estimate of the number of zeros of the function $F(r)=P(r,{\rm sn} r)$, where $P(X, Y)\in C [X, Y]$,  and ${\rm sn}  z$ is the Jacobian elliptic function, is obtained.
Saved in:
| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8268 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513020965289984 |
|---|---|
| author | Kholyavka, Ya.M. Холявка, Я.М. |
| author_facet | Kholyavka, Ya.M. Холявка, Я.М. |
| author_sort | Kholyavka, Ya.M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-03-27T09:55:08Z |
| description | An estimate of the number of zeros of the function $F(r)=P(r,{\rm sn} r)$, where $P(X, Y)\in C [X, Y]$,  and ${\rm sn}  z$ is the Jacobian elliptic function, is obtained. |
| first_indexed | 2026-03-24T03:38:03Z |
| format | Article |
| fulltext |
T44_1624
|
| id | umjimathkievua-article-8268 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:38:03Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/60/3b6cc68fae4af35b6cac67bc0b114e60.pdf |
| spelling | umjimathkievua-article-82682024-03-27T09:55:08Z On zeroes of the polynomials of elliptic Jacobi functions Про нулі многочленів від еліптичних функцій Якобі Kholyavka, Ya.M. Холявка, Я.М. - An estimate of the number of zeros of the function $F(r)=P(r,{\rm sn} r)$, where $P(X, Y)\in C [X, Y]$,  and ${\rm sn}  z$ is the Jacobian elliptic function, is obtained. Получена оценка количества нулей функции $F(r)=P(r,{\rm sn} r)$, где $P(X, Y)\in C [X, Y]$, ${\rm sn}  z$  — эллиптическая функция Якоби. Одержано оцінку кількості нулів функції $F(r)=P(r,{\rm sn} r)$, де $P(X, Y)\in C [X, Y]$, ${\rm sn}  z$ — еліптична функція Якобі. Institute of Mathematics, NAS of Ukraine 1992-11-06 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8268 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 11 (1992); 1624 Український математичний журнал; Том 44 № 11 (1992); 1624 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/8268/9848 Copyright (c) 1992 Ya.M. Kholyavka |
| spellingShingle | Kholyavka, Ya.M. Холявка, Я.М. On zeroes of the polynomials of elliptic Jacobi functions |
| title | On zeroes of the polynomials of elliptic Jacobi functions |
| title_alt | Про нулі многочленів від еліптичних функцій Якобі |
| title_full | On zeroes of the polynomials of elliptic Jacobi functions |
| title_fullStr | On zeroes of the polynomials of elliptic Jacobi functions |
| title_full_unstemmed | On zeroes of the polynomials of elliptic Jacobi functions |
| title_short | On zeroes of the polynomials of elliptic Jacobi functions |
| title_sort | on zeroes of the polynomials of elliptic jacobi functions |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8268 |
| work_keys_str_mv | AT kholyavkayam onzeroesofthepolynomialsofellipticjacobifunctions AT holâvkaâm onzeroesofthepolynomialsofellipticjacobifunctions AT kholyavkayam pronulímnogočlenívvídelíptičnihfunkcíjâkobí AT holâvkaâm pronulímnogočlenívvídelíptičnihfunkcíjâkobí |