Results 31 to 40 of about 1,690,008 (302)
A note on super Catalan numbers [PDF]
, 2012 We show that the super Catalan numbers are special values of the Krawtchouk polynomials by deriving an expression for the super Catalan numbers in terms of a signed set.Comment: 4 pages. Revised and Accepted.
Georgiadis, Evangelos +2 more
core +3 more sources
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
doaj +1 more source
On generalizations of Chebyshev polynomials and Catalan numbers
Ufimskii Matematicheskii Zhurnal, 2021 . We provide possible directions of generalizations of earlier found relations between the Chebyshev polynomials and the Catalan numbers arising in studying commuting difference operators. These generalizations are mostly related with ideas proposed by N.
B. Bychkov, G. Shabat
semanticscholar +1 more source
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
doaj +1 more source
Congruences with q- generalized Catalan numbers and q-harmonic numbers
Hacettepe Journal of Mathematics and Statistics, 2021 In this paper, we give some congruences related to q − generalized Catalan numbers, q − harmonic numbers and alternating q − harmonic numbers, using combinatorial identities and some known congruences.
N. Ömür, Z. Gür, S. Koparal
semanticscholar +1 more source
Integral Representations of the Catalan Numbers and Their Applications
Mathematics, 2017 In the paper, the authors survey integral representations of the Catalan numbers and the Catalan–Qi function, discuss equivalent relations between these integral representations, supply alternative and new proofs of several integral representations ...
Feng Qi, Bai-Ni Guo
doaj +1 more source
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
doaj +1 more source
The NADPH oxidase NOX4 regulates redox and metabolic homeostasis preventing HCC progression
Hepatology, EarlyView., 2022 Loss of NOX4 in HCC tumor cells induces metabolic reprogramming in a Nrf2/MYC‐dependent manner to promote HCC progression. Abstract Background and Aims The NADPH oxidase NOX4 plays a tumor‐suppressor function in HCC. Silencing NOX4 confers higher proliferative and migratory capacity to HCC cells and increases their in vivo tumorigenic potential in ...
Irene Peñuelas‐Haro +14 more
wiley +1 more source
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
doaj +1 more source
Some Families of Apéry-Like Fibonacci and Lucas Series
Mathematics, 2021 In this paper, the authors investigate two special families of series involving the reciprocal central binomial coefficients and Lucas numbers. Connections with several familiar sums representing the integer-valued Riemann zeta function are also pointed ...
Robert Frontczak +2 more
doaj +1 more source