Article ID Journal Published Year Pages File Type
4617140 Journal of Mathematical Analysis and Applications 2013 8 Pages PDF
Abstract
In this work we derive asymptotic formulas for the q-exponential function eq(z), q-gamma function Γq(z), and q-shifted factorial (z;q)n as q approaches 1 without using theta functions or summation formulas. These asymptotics are valid uniformly on compact subsets of the complex plane.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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