Hjalmar Rosengren

A New Product Formula for $$(z;q)_\infty $$, with Applications to Asymptotics

Abstract We express the q -Pochhammer symbol $$(z;q)_\infty $$ ( 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...