Certain families of elliptic functions defined by q-series

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)23-41
Number of pages19
JournalRamanujan Journal
Volume10
Issue number1
DOIs
Publication statusPublished - Aug 1 2005

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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