On a generalized Weierstrass theta identity

DOI10.1090/PROC/15685zbMath1498.33017OpenAlexW3172466735MaRDI QIDQ5020711

Jin Wang

Publication date: 7 January 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15685

zbMATH Keywords

elliptic\(q\)-seriestheta functionCauchy determinantWeierstrass' theta identity

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elliptic functions and integrals (33E05) Applications of basic hypergeometric functions (33D90)

Uses Software

• DLMF

Cites Work

• Summation and transformation formulas for elliptic hypergeometric series.
• On the equivalence of two fundamental theta identities
• A new elliptic interpolation formula via the $(f,g)$-inversion
• Ramanujan’s forty identities for the Rogers-Ramanujan functions
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