A New Product Formula for , with Applications to Asymptotics
Journal article, 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
Author
Arash Arabi Ardehali
Sharif University of Technology
Hjalmar Rosengren
University of Gothenburg
Chalmers, Mathematical Sciences, Analysis and Probability Theory
Constructive Approximation
0176-4276 (ISSN) 1432-0940 (eISSN)
Vol. In PressSubject Categories (SSIF 2025)
Mathematical Analysis
DOI
10.1007/s00365-026-09783-2