A New Product Formula for (z;q)∞, with Applications to Asymptotics
Artikel i vetenskaplig tidskrift, 2026
We express the q-Pochhammer symbol (z;q)∞ as an infinite product of gamma functions, analogously to how Narukawa expressed the elliptic gamma function as an infinite product of hyperbolic gamma functions. This identity is used to obtain asymptotic expansions when q tends to 1.
q-Pochhammer symbol
Asymptotic expansion
Quantum dilogarithm
q-gamma function
Författare
Arash Arabi Ardehali
Sharif University of Technology
Hjalmar Rosengren
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Göteborgs universitet
Constructive Approximation
0176-4276 (ISSN) 1432-0940 (eISSN)
Vol. In PressÄmneskategorier (SSIF 2025)
Matematisk analys
DOI
10.1007/s00365-026-09783-2