Open AccessOn the theory of elliptic functions based on 鈧傪潗光倎(\frac{1}3,\frac{2}3;\frac{1}2;饾懅)
Author(s) -
Li Chien Shen
Publication year - 2004
Publication title -
transactions of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.798
H-Index - 100
eISSN - 1088-6850
pISSN - 0002-9947
DOI - 10.1090/s0002-9947-04-03600-1
Subject(s) - algorithm , artificial intelligence , mathematics , computer science
Based on properties of the hypergeometric series 2 F 1 ( 1 3 , 2 3 ; 1 2 ; z ) {}_{2}F_{1}(\frac {1}{3},\frac {2}{3};\frac {1}{2};z) , we develop a theory of elliptic functions that shares many striking similarities with the classical Jacobian elliptic functions.