Results 61 to 70 of about 56,637 (162)

On ideal convergence of sequences via Catalan matrix operator

Miskolc Mathematical Notes
Catalan sequence initially introduced by Euler but named after Eugene Catalan has found abundant applications in the fields of probability theory, number theory, analysis, combinatorics etc.
Vakeel Ahmad Khan, Mikail Et, Umme Tuba
doaj   +1 more source

Product of Ginibre matrices: Fuss-Catalan and Raney distributions

, 2011
Squared singular values of a product of s square random Ginibre matrices are asymptotically characterized by probability distribution P_s(x), such that their moments are equal to the Fuss-Catalan numbers or order s.
Penson, Karol A., Zyczkowski, Karol
core   +1 more source

Some explicit expressions for twisted q-analogues of Catalan numbers and polynomials [PDF]

Discrete Mathematics Letters, 2022
Dongkyu Lim
doaj   +1 more source

Parametric Catalan numbers and Catalan triangles

Linear Algebra and its Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On a generalization of the Gadovan numbers [PDF]

Mathematica Moravica
In this paper, we define (k, l)-Gadovan numbers. We give the Binet-like formula, the generating functions, the exponential generating function of the (k, l)-Gadovan numbers. Also, we derive Cassinilike identity, Catalan-like identity, Vajda-like identity,
Özkan Engın, Eser Engın, Uysal Mıne
doaj   +1 more source

Proofs of two conjectures involving sums of normalized Narayana numbers

Demonstratio Mathematica
Narayana numbers are well-known and have many applications in the field of combinatorics. The Narayana numbers form a triangular array, where the sum of the nth row is the nth Catalan number.
Goldman Ron, Simeonov Plamen, Zafiris Vasilis   +2 more
doaj   +1 more source

A Study on Dual Hyperbolic Fibonacci and Lucas Numbers

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu, Azak Ayşe Zeynep, Güngör Mehmet Ali, Tosun Murat   +3 more
doaj   +1 more source

Generalized Catalan numbers

, 2020
A finitization of the Catalan numbers $ C_n $ can be defined as Euler characteristics of an algebraic structure. We conjecture the existence of a $ q $-deformed version of such structure, and provide evidence for the first two non-trivial cases. This $ q $-deformed version will likely categorify series arise from identities of the Roger-Ramanujan type.
openaire   +2 more sources

Simple Rules of a Discrete Stochastic Process Leading to Catalan-like Recurrences

Algorithms
A method for obtaining integer sequences is presented by defining simple rules for the evolution of a discrete dynamical system. This paper demonstrates that various Catalan-like recurrences of known integer sequences can be obtained from a single ...
Mariusz Białecki
doaj   +1 more source

s-Catalan numbers and Littlewood-Richardson polynomials [PDF]

Enumerative Combinatorics and Applications, 2022
William Linz
doaj   +1 more source