scholarly journals On the Order of the Central Moments of the Length of the Longest Common Subsequences in Random Words

Author(s):  
Christian Houdré ◽  
Jinyong Ma
2021 ◽  
Vol 19 (1) ◽  
pp. 284-296
Author(s):  
Hye Kyung Kim

Abstract Many mathematicians have studied degenerate versions of quite a few special polynomials and numbers since Carlitz’s work (Utilitas Math. 15 (1979), 51–88). Recently, Kim et al. studied the degenerate gamma random variables, discrete degenerate random variables and two-variable degenerate Bell polynomials associated with Poisson degenerate central moments, etc. This paper is divided into two parts. In the first part, we introduce a new type of degenerate Bell polynomials associated with degenerate Poisson random variables with parameter α > 0 \alpha \hspace{-0.15em}\gt \hspace{-0.15em}0 , called the fully degenerate Bell polynomials. We derive some combinatorial identities for the fully degenerate Bell polynomials related to the n n th moment of the degenerate Poisson random variable, special numbers and polynomials. In the second part, we consider the fully degenerate Bell polynomials associated with degenerate Poisson random variables with two parameters α > 0 \alpha \gt 0 and β > 0 \beta \hspace{-0.15em}\gt \hspace{-0.15em}0 , called the two-variable fully degenerate Bell polynomials. We show their connection with the degenerate Poisson central moments, special numbers and polynomials.


1980 ◽  
Vol 106 (6) ◽  
pp. 1423-1429
Author(s):  
Mircea Grigoriu
Keyword(s):  

1982 ◽  
Vol 108 (4) ◽  
pp. 669-671
Author(s):  
Mircea Grigoriu
Keyword(s):  

Author(s):  
Emmanuel Melissaris ◽  
Mariano Croce

Legal pluralism, as a way of thinking about law, is the seemingly straightforward idea that there is a range of normative orders, which are independent from the state and can be properly described as legal without committing any conceptual mistake. Without giving a full survey of the long and varied history of legal pluralism theory, this article will discuss some central moments in that history. It will focus specifically on the question whether it is possible and useful to capture law as conceptually separate from other normative phenomena so as to speak of specifically legal pluralism or whether it is best to take a panlegalist approach and not draw any clear distinctions between law and other instances of social normativity.


2011 ◽  
Vol 535 ◽  
pp. A45 ◽  
Author(s):  
P. Mein ◽  
H. Uitenbroek ◽  
N. Mein ◽  
V. Bommier ◽  
M. Faurobert

2008 ◽  
Vol 108 (7) ◽  
pp. 1220-1231
Author(s):  
David W. Small ◽  
Martin Head-Gordon

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