A method of finding the asymptotics of q-series based on the convolution of generating functions

2015/09/29 by Kotesovec, Vaclav · 1 citation
#05A16 #05A17 #05A30 #11P81 #41A60 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1509.08708

Abstract

This paper analyzes over 30 types of q-series and the asymptotic behavior of their expansions. A method is described for deriving further asymptotic formulas using convolutions of generating functions with subexponential growth. All variables in the article are integers.

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