A New Product Formula for , with Applications to Asymptotics
Artikel i vetenskaplig tidskrift, 2026
We express the q-Pochhammer symbol (z;q)infinity 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.
Quantum dilogarithm
<italic>q</italic>-Pochhammer symbol
<italic>q</italic>-gamma function
Asymptotic expansion
Författare
Arash Arabi Ardehali
Sharif University of Technology
Hjalmar Rosengren
Göteborgs universitet
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Constructive Approximation
0176-4276 (ISSN) 1432-0940 (eISSN)
Vol. In PressÄmneskategorier (SSIF 2025)
Matematisk analys
DOI
10.1007/s00365-026-09783-2