The elliptic function \rm dn₂ of Shen

2020/09/07 by P. L. Robinson, Robinson, P. L.
Mathematics · Medicine · #33C75 #33E05 #Complex Variables (math.CV) #FOS: Mathematics #Functional Equations Stability Results #Fuzzy Systems and Optimization #Traditional Chinese Medicine Studies

paper · pdf · doi:10.48550/arxiv.2009.04910

openalex publication_date 2020/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the elliptic function \rm dn₂ introduced by Li-Chien Shen, contributing to the Ramanujan theory of elliptic functions in signature four.

Related

• The elliptic function \rm dn₃ of Shen
• Elliptic functions in signature four
• A root elliptic function in signature four
• Hypergeometric identities in elliptic signature six
• Modular transformations and the elliptic functions of Shen