A q -analogue of the Riordan group
نویسندگان
چکیده
منابع مشابه
The Double Riordan Group
The Riordan group is a group of infinite lower triangular matrices that are defined by two generating functions, g and f . The kth column of the matrix has the generating function gfk. In the Double Riordan group there are two generating function f1 and f2 such that the columns, starting at the left, have generating functions using f1 and f2 alternately. Examples include Dyck paths with level s...
متن کاملThe Riordan group
Shapiro, L.W., S. Getu, W.-J. Woan and L.C. Woodson, The Riordan group, Discrete Applied Mathematics 34 (1991) 229-239.
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We define the Sheffer group of all Sheffer-type polynomials and prove the isomorphism between the Sheffer group and the Riordan group. An equivalence of the Riordan array pair and generalized Stirling number pair is also presented. Finally, we discuss a higher dimensional extension of Riordan array pairs. AMS Subject Classification: 05A15, 11B73, 11B83, 13F25, 41A58
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2013
ISSN: 0024-3795
DOI: 10.1016/j.laa.2013.10.024