Duality transformation formulas for multiple elliptic hypergeometric series of type $BC$
Yasushi Komori, Yasuho Masuda, Masatoshi Noumi
TL;DR
This paper introduces new duality transformation formulas for multiple elliptic hypergeometric series of types BC and C, expanding the mathematical toolkit for these complex series.
Contribution
It proposes novel duality transformation formulas for multiple elliptic hypergeometric series of specific types, unifying and extending previous results.
Findings
Derived new transformation formulas
Recovered known results as special cases
Enhanced understanding of elliptic hypergeometric series
Abstract
New duality transformation formulas are proposed for multiple elliptic hypergeometric series of type and of type . Various transformation and summation formulas are derived as special cases to recover some previously known results.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Advanced Mathematical Identities · Algebraic structures and combinatorial models