Results 51 to 60 of about 1,655,826 (313)
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
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Odd Catalan Numbers Modulo [PDF]
, 2012 .This article proves a conjecture by S.-C. Liu and J. C.-C.
Hsueh-Yung Lin
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A generalization of Catalan numbers
Discrete Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonio Vera-López +3 more
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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
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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
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Catalan numbers revisited [PDF]
, 1994 This paper discusses a method of proving that the number of well-formed orderings of n open and n closed parentheses is (2nn(n + 1). More details are provided by D. S. Rubenstein [“Catalan Numbers Revisited and Generalized Catalan Numbers,” 1992]
Rubenstein, Daniel
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On Pellnomial coefficients and Pell–Catalan numbers [PDF]
, 2022 WOS:000925932800003In this paper, we first give the Pascal’s identity for Pellno-mial coefficients and then we show that the Pellnomial coefficients are integers. We obtain that the product of r consecutive Pell numbers is divisible by the Pell analog of
İpek, Ahmet
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Enumeration of the generalized Catalan numbers [PDF]
, 2005 The sequence of numbers given by the equation Cn=1n +12nn are widely known as the Catalan numbers, because they were first studied by Catalan. The ways to enumerate these numbers are similarly widely known and studied, as can be seen in Gould\u27s ...
Richardson, Steven L., Jr.
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Alternating Convolutions of Catalan Numbers [PDF]
Bulletin of the Brazilian Mathematical Society, New Series, 2021 A new class of alternating convolutions concerning binomial coefficients and Catalan numbers are evaluated in closed forms.
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On powers of the Catalan number sequence [PDF]
Discrete Mathematics, 2019 The Catalan number sequence is one of the most famous number sequences in combinatorics and is well studied in the literature. In this paper we further investigate its fundamental properties related to the moment problem and prove for the first time that it is an infinitely divisible Stieltjes moment sequence in the sense of S.-G. Tyan.
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