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

Author

Listed:
  • Andreas George Kyriakoussis

    (Harokopion University)

  • Malvina Vamvakari

    (Harokopion University)

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

Suggested Citation

  • Andreas George Kyriakoussis & Malvina Vamvakari, 2013. "A q-Analogue of the Stirling Formula and a Continuous Limiting Behaviour of the q-Binomial Distribution—Numerical Calculations," Methodology and Computing in Applied Probability, Springer, vol. 15(1), pages 187-213, March.
    • Handle: RePEc:spr:metcap:v:15:y:2013:i:1:d:10.1007_s11009-011-9231-1
    DOI: 10.1007/s11009-011-9231-1
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    Cited by:

    1. Charalambos A. Charalambides, 2024. "A Class of Power Series q -Distributions," Mathematics, MDPI, vol. 12(5), pages 1-14, February.
    2. Jean-Christophe Breton & Youssef El-Khatib & Jun Fan & Nicolas Privault, 2021. "A q-binomial extension of the CRR asset pricing model," Papers 2104.10163, arXiv.org, revised Feb 2023.

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