Certain families of elliptic functions defined by q-series

Nobushige Kurokawa; Masato Wakayama

doi:10.1007/s11139-005-3503-8

Certain families of elliptic functions defined by q-series

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We introduce certain families of elliptic functions involving the Weierstrass ℘-function via q-series systematically and investigate their analytic and algebraic properties. Especially, we give examples of non-linear algebraic ordinary differential equations satisfied by some such elliptic functions.

Original language	English
Pages (from-to)	23-41
Number of pages	19
Journal	Ramanujan Journal
Volume	10
Issue number	1
DOIs	https://doi.org/10.1007/s11139-005-3503-8
Publication status	Published - Aug 2005
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-005-3503-8

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title = "Certain families of elliptic functions defined by q-series",

abstract = "We introduce certain families of elliptic functions involving the Weierstrass ℘-function via q-series systematically and investigate their analytic and algebraic properties. Especially, we give examples of non-linear algebraic ordinary differential equations satisfied by some such elliptic functions.",

author = "Nobushige Kurokawa and Masato Wakayama",

note = "Funding Information: Work in part supported by Grant-in Aid for Scientific Research (B) No. 11440010, and by Grant-in Aid for Exploratory Research No. 13874004, Japan Society for the Promotion of Science.",

year = "2005",

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doi = "10.1007/s11139-005-3503-8",

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AU - Kurokawa, Nobushige

AU - Wakayama, Masato

N1 - Funding Information: Work in part supported by Grant-in Aid for Scientific Research (B) No. 11440010, and by Grant-in Aid for Exploratory Research No. 13874004, Japan Society for the Promotion of Science.

PY - 2005/8

Y1 - 2005/8

N2 - We introduce certain families of elliptic functions involving the Weierstrass ℘-function via q-series systematically and investigate their analytic and algebraic properties. Especially, we give examples of non-linear algebraic ordinary differential equations satisfied by some such elliptic functions.

AB - We introduce certain families of elliptic functions involving the Weierstrass ℘-function via q-series systematically and investigate their analytic and algebraic properties. Especially, we give examples of non-linear algebraic ordinary differential equations satisfied by some such elliptic functions.

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JO - Ramanujan Journal

JF - Ramanujan Journal

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Certain families of elliptic functions defined by q-series

Abstract

All Science Journal Classification (ASJC) codes

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