Results 101 to 110 of about 228 (148)

Representation formulas for the moments of the density of zeros of orthogonal polynomial sets

Le Matematiche, 1993
The moments of the density of zeros of orthogonal polynomial systems generated by athree-term recurrence relation are represented by Lucas polynomials of the first kind and by Bell polynomials.
Bruna Germano, Paolo Emilio Ricci
doaj  

Can species adapt to drought using multiple strategies? Lessons from the California poppy

New Phytologist, Volume 250, Issue 5, Page 2918-2932, June 2026.
Summary Plants can escape drought by completing life cycles early, tolerate drought by increasing physiological limits, or avoid drought stress by obtaining or using water more efficiently. It remains unclear whether strategies vary within species across their distributional ranges due to trade‐offs, and whether species can exhibit plasticity in ...
Stuart T. Schwab, Kristal Lam, Finn Thornton, Rachel Brown, Joe Kesler, Cory Merow, Jason P. Sexton, Elsa E. Cleland   +7 more
wiley   +1 more source

On properties of Tribonacci-Lucas polynomials

, 2014
In this paper, we investigated properties of Tribonacci-Lucas polynomials which generalized Tribonacci-Lucas numbers. From this generalization, we also obtain some new algebraic properties on these numbers and polynomials as Binet formula, summation, binomial sum and generating function.
Kose, Hasan, Yilmaz, Nazmiye, Taskara, Necati   +2 more
openaire   +2 more sources

Variable Temperature Studies of Two Calcium Uranates α‐Ca3UO6 and Ca2UO5

Chemistry – A European Journal, Volume 32, Issue 20, 27 May 2026.
The structures and thermal responses of the calcium uranates α‐Ca3UO6 and Ca2UO5 were investigated using in situ synchrotron x‐ray diffraction and neutron powder diffraction. Despite the very similar chemical compositions, the structural response of the two calcium uranates is shown to be complex and varied.
Maria K. Nicholas, Timothy A. Ablott, Caleb J. Bennett, Bryce G. Mullens, Helen E. Maynard‐Casely, Wen Liang Tan, Jeremy L. Wykes, Yingjie Zhang, Brendan J. Kennedy   +8 more
wiley   +1 more source

New Results of Generalized Jacobsthal–Lucas Polynomials with Some Integral Applications

Mathematics
We study a generalized class of Jacobsthal–Lucas polynomials that depends on two parameters. First, we introduce essential formulas for these polynomials, involving their series representation, inverse formula, and moment formula. These formulas allow us
Naher Mohammed A. Alsafri, Waleed Mohamed Abd-Elhameed   +1 more
doaj   +1 more source

Generalizations of the Fibonacci and Lucas polynomials

Filomat, 2009
In this note we consider two sequences of polynomials, which are denoted by {Un(k),m} and {Vn(k),m}, where k, m, n are nonnegative integers, and m ? 2. These sequences represent generalizations of the well-known Fibonacci and Lucas polynomials. For example, if m = 2, then we obtain exactly the Fibonacci and Lucas polynomials. If m = 3, then polynomials
openaire   +2 more sources

Remarks on an Identity of Anastase and Díaz-Barrero

Axioms
We extend an algebraic identity of Anastase and Díaz-Barrero (2022) and apply our results to deduce various formulas for sums and series involving (among others) Fibonacci and Lucas numbers, Bernoulli polynomials, and the Riemann zeta function.
Horst Alzer, Robert Frontczak
doaj   +1 more source

Collocation Method for the Time-Fractional Generalized Kawahara Equation Using a Certain Lucas Polynomial Sequence

Axioms
This paper proposes a numerical technique to solve the time-fractional generalized Kawahara differential equation (TFGKDE). Certain shifted Lucas polynomials are utilized as basis functions.
Waleed Mohamed Abd-Elhameed, Abdulrahman Khalid Al-Harbi, Omar Mazen Alqubori, Mohammed H. Alharbi, Ahmed Gamal Atta   +4 more
doaj   +1 more source

Hepatitis C virus and hepatitis B virus in indolent lymphomas: Prospective data from the international observational NF10 study

British Journal of Haematology, Volume 208, Issue 6, Page 2229-2234, June 2026.
Luca Arcaini, Michele Merli, Sara Rattotti, Maria Elena Nizzoli, Vittoria Tarantino, Chiara Consoli, Annalisa Talami, Roberta Murru, Marina Deodato, Emanuele Cencini, Francesca Re, Carlo Visco, Guilherme Duffles, Michele Spina, Ombretta Annibali, Alessandro Pulsoni, Andrés J. M. Ferreri, Caterina Stelitano, Elsa Pennese, Marzia Varettoni, Emilia Cappello, Gianmarco Favrin, Martina La Fauci, Luigi Marcheselli, Marco Paulli, Stefano Luminari   +25 more
wiley   +1 more source

On Some Identities and Symmetric Functions for Balancing Numbers

Journal of New Theory, 2018
In this paper, we derivenew generating functions of the product of balancing numbers, Lucas balancingnumbers and the Chebychev polynomials of the second kind by making use ofuseful properties of the symmetric functions mentioned in the paper.
Ali Boussayoud
doaj