Non-linear algebraic differential equations satisfied by certain family of elliptic functions - Collections

＜journal article＞
Non-linear algebraic differential equations satisfied by certain family of elliptic functions

Creator	Author PID K000521 Creator Name Wakayama, Masato 若山, 正人ワカヤマ, マサト Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
Creator	Creator Name Yamamoto, Keitaro ヤマモト, ケイタロウ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University
Language	English
Publisher	Springer US
Date	2013-02
Source Title	The Ramanujan journal
Vol	30
Issue	2
First Page	173
Last Page	186
Publication Type	Accepted Manuscript
Access Rights	open access
Rights	(C) Springer Science+Business Media, LLC 2012
Rights	The final publication is available at link.springer.com
Related DOI	isIdenticalTo https://doi.org/10.1007/s11139-012-9425-3
Related DOI	MI Preprint Series ; 2009-17
Related DOI	The Ramanujan Journal \|\| 30(2) \|\| p173-186
	http://www.math.kyushu-u.ac.jp/
	http://link.springer.com/journal/11139
Related URI	The Ramanujan Journal \|\| 30(2) \|\| p173-186
	http://www.math.kyushu-u.ac.jp/
	http://link.springer.com/journal/11139
Related URI
Related HDL
Relation	MI Preprint Series ; 2009-17
	The Ramanujan Journal \|\| 30(2) \|\| p173-186
	http://www.math.kyushu-u.ac.jp/
	http://link.springer.com/journal/11139
Abstract	The paper [KW] studied a family of elliptic functions defined by certain $q$-series. This family, in particular, contains the Weierstrass $wp$-function. In this paper, we prove that elliptic functions... in this family satisfy certain non-linear algebraic differential equations whose coefficients are essentially given by rational functions of the first few Eisenstein series of the modular group.show more

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Record ID	14239
Peer-Reviewed	Refereed
Subject Terms	elliptic functions
	$q$-series
	Weierstrass $wp$-function
	Eisenstein series
	Lambert series
ISSN	1382-4090
ISSN	1572-9303
DOI	10.1007/s11139-012-9425-3
NCID	AA11118653
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	雑誌論文
Created Date	2013.05.21
Modified Date	2024.01.10

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＜journal article＞ Non-linear algebraic differential equations satisfied by certain family of elliptic functions

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＜journal article＞
Non-linear algebraic differential equations satisfied by certain family of elliptic functions