The r-Lah numbers
نویسندگان
چکیده
منابع مشابه
Generalized Stirling and Lah numbers
The theory of modular binomial lattices enables the simultaneous combinatorial analysis of finite sets, vector spaces, and chains. Within this theory three generalizations of Stifling numbers of the second kind, and of Lah numbers, are developed. 1. Stirling numbers and their formal generalizations The nota t ional convent ions of this paper are as follows: N = {0,1,2 . . . . }, P = {1,2,. . . ...
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In this paper, we first give a new q-analogue of the Lah numbers. Then we show the irreducible factors of the q-Lah numbers over Z.
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K e y w o r d s O r t h o g o n a l polynomials, Lah numbers, Involutory matrices, Connection problems, Generalized hypergeometric series. *Author to whom all correspondence should be addressed. The authors were partially supported by the "XXII Comisi6n Mixta Permanente del Acuerdo Cultural entre Espafia y Bdlgica (Comunidad Francesa)". The work of E. Godoy was partially supported by DGES (Mini...
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This paper studies the generalizations of the Stirling numbers of both kinds and the Lah numbers in association with the normal ordering problem in the Weyl algebra W = 〈x,D|Dx − xD = 1〉. Any word ω ∈ W with m x’s and n D’s can be expressed in the normally ordered form ω = xm−n ∑ k>0 { ω k } xkDk, where { ω k } is known as the Stirling number of the second kind for the word ω. This study consid...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2015
ISSN: 0012-365X
DOI: 10.1016/j.disc.2014.03.029