Results 41 to 50 of about 1,655,826 (313)
Some structures of the catalan numbers I [PDF]
ریاضی و جامعهThe Catalan numbers are ubiquitous in counting problems which is one of the primary reasons for its popularity. From various sources like books and Wikipedia we see that in combinatorial mathematics.
Daniel Yaqubi, Madjid Mirzavaziri
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Constructible representations and Catalan numbers [PDF]
Pacific Journal of MathematicsWe establish a connection between constructible representations (arising in the study of left cells in Weyl groups) and Catalan numbers.
Eric Sommers, G. Lusztig
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Explicit Construction of the Inverse of an Analytic Real Function: Some Applications
Mathematics, 2020 In this paper, we introduce a general procedure to construct the Taylor series development of the inverse of an analytical function; in other words, given y=f(x), we provide the power series that defines its inverse x=hf(y). We apply the obtained results
Joaquín Moreno +2 more
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A New Approach to k-Jacobsthal Lucas Sequences
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021 In this study, 〖CS〗_(k,n) of S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas sequences is defined. S_(k,n) Catalan transformation of 𝑘−Jacobsthal-Lucas S_(k,n) sequences is obtained.In addition the transformation of CS_(k,n) is written as the ...
Hakan Akkuş +2 more
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Hankel determinants of convoluted Catalan numbers and nonintersecting lattice paths: A bijective proof of Cigler's conjecture [PDF]
Enumerative Combinatorics and ApplicationsIn recent preprints, Cigler considered certain Hankel determinants of convoluted Catalan numbers and conjectured identities for these determinants. In this note, we shall give a bijective proof of Cigler's Conjecture by interpreting determinants as ...
M. Fulmek
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Coinciding Mean of the Two Symmetries on the Set of Mean Functions
Axioms, 2023 On the set M of mean functions, the symmetric mean of M with respect to mean M0 can be defined in several ways. The first one is related to the group structure on M, and the second one is defined trough Gauss’ functional equation.
Lenka Mihoković
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A new conservative matrix derived by Catalan numbers and its matrix domain in the spaces c and c0
Linear and multilinear algebra, 2020 The main purpose of this paper is to define a new conservative matrix by means of the fascinating sequence of Catalan numbers and study the matrix domain of this newly introduced matrix in the classical sequence spaces c and .
M. İlkhan
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Chromatic statistics for Catalan and Fuß-Catalan numbers
Electronic Journal of Combinatorics, 2011 We refine Catalan numbers and Fuß-Catalan numbers by introducing colour statistics for triangulations of polygons and $d$-dimensional generalisations there-of which we call Fuß-Catalan complexes. Our refinements consist in showing that the number of triangulations, respectively Fuß-Catalan complexes, with a given colour distribution of its vertices is ...
Bacher, Roland, Krattenthaler, Christian
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On a Surface Associated to the Catalan Triangle
Axioms, 2022 We define a surface that interpolates the ballot numbers in the Catalan triangle corresponding to every pair of nonnegative integers (except for the origin).
Marilena Jianu +5 more
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