A q-Analogue of the Stirling Formula and a Continuous Limiting Behaviour of the q-Binomial Distribution—Numerical Calculations

Andreas George Kyriakoussis () and Malvina Vamvakari
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Andreas George Kyriakoussis: Harokopion University
Malvina Vamvakari: Harokopion University

Methodology and Computing in Applied Probability, 2013, vol. 15, issue 1, 187-213

Abstract: Abstract In this article, we derive an asymptotic formula for the q-factorial number of order n using the saddle point method. This formula is a q-analogue, for 0

Keywords: Stirling formula; q-Factorial number of order n; Asymptotic formulas; Saddle point method; q-Binomial distribution; Pointwise convergence; Continuous Stieltjes–Wigert distribution; 60F99; 65D20; 05A30 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s11009-011-9231-1

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