Asymptotic normality of associated Lah numbers-Reference-Cited by-同舟云学术

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Asymptotic normality of associated Lah numbers

Published:2021 Issue:3 Volume:4 Page:185
ISSN:2577-8838
Container-title:Mathematical Foundations of Computing
language:
Short-container-title:MFC

Author:

Zhang Wen,Liu Lily Li

Abstract

<p style='text-indent:20px;'>Based on the results given by Ahuja and Enneking, we show that the generating function of the associated Lah numbers having only real zeros, and further obtain the asymptotic normality of the associated Lah numbers. As application, we get the asymptotic normality of the signless Lah numbers.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Medicine

Reference24 articles.

1. J. C. Ahuja.Distributions of the Sum of Independent Decapitated Negative Binomial Variables, Ann. Math. Statist., 42 (1971), 383-384.

2. J. C. Ahuja, E. A. Enneking.Concavity property and a recurrence relation for associated Lah nubers, Fibonacci Quart., 17 (1979), 158-161.

3. P. Baldi, Y. Rinott.Asymptotic normality of some graph-related statistics, J. Appl. Probab., 26 (1989), 171-175.

4. P. Barry, Some observations on the Lah and Laguerre transforms of integer sequences, J. Integer Seq., 10 (2007), 18pp.

5. H. Belbachir and I. E. Bousbaa, Associated Lah numbers and $r$-Stirling numbers, Mathematics, (2014).

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