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

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.

28 pages

References in corpus (4)

• Powers of Euler's q-Series
• A Polynomial Variation on Meinardus' Theorem
• Coefficient Bounds for Level 2 Cusp Forms and Modular Functions
• Asymptotics of the Euler transform of Fibonacci numbers

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• Skew doubled shifted plane partitions: calculus and asymptotics
• Some inequalities for Garvan's bicrank function of 2-colored partitions