Results 161 to 170 of about 523 (200)

Computational analysis of a class of singular nonlinear fractional multi-order heat conduction model of the human head. [PDF]

Sci Rep
Izadi M, Atangana A.
europepmc   +1 more source

Water availability shapes temporal patterns of extrafloral nectar secretion and ant visitation to a Neotropical legume. [PDF]

Plant Biol (Stuttg)
Melati B, Souza C, Nogueira A, Leal LC.
europepmc   +1 more source

Time-Marching Quantum Algorithm for Simulation of Nonlinear Lorenz Dynamics. [PDF]

Entropy (Basel)
Koukoutsis E, Vahala G, Soe M, Hizanidis K, Vahala L, Ram AK.   +5 more
europepmc   +1 more source

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Binomial Sums with Pell and Lucas Polynomials

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2021
Pell and Pell-Lucas polynomials are given recursively by \(P_n(x)=2xP_{n-1}(x)+P_{n-2}(x)\) and \(Q_n(x)=2xQ_{n-1}(x)+Q_{n-2}(x)\), respectively, with initial conditions \(P_0(x)=0, P_1(x)=1, Q_0(x)=2, Q_1(x)=2x\). They generalize the Fibonacci and Lucas numbers, which correspond to \(F_n=P_n(\frac 12)\) and \(L_n=Q_n(\frac 12)\), respectively.
Dongwei Guo
exaly   +3 more sources

An alternative approach to Cigler’s q-Lucas polynomials

Applied Mathematics and Computation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hacène Belbachir
exaly   +3 more sources

ON SUMS OF BIVARIATE FIBONACCI POLYNOMIALS AND BIVARIATE LUCAS POLYNOMIALS

South East Asian J. of Mathematics and Mathematical Sciences, 2022
In this paper, we present the sum of s+1 consecutive member of Bivariate Fibonacci Polynomials and Bivariate Lucas Polynomials and related identities consisting even and odd terms. We present its two cross two matrix and find interesting properties such as nth power of the matrix.
Panwar, Yashwant K., Mansuri, Akhlak, Bhandari, Jaya   +2 more
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The Irregularity Polynomials of Fibonacci and Lucas cubes

Bulletin of the Malaysian Mathematical Sciences Society, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ömer Eğecioğlu, Elif Saygı, Zülfükar Saygı   +2 more
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Fibonacci and Lucas polynomials

Mathematical Proceedings of the Cambridge Philosophical Society, 1981
The Fibonacci and Lucas polynomials Fn(z) and Ln(z) are denned. These reduce to the familiar Fibonacci and Lucas numbers when z = 1. The polynomials are shown to satisfy a second order linear difference equation. Generating functions are derived, and also various simple identities, and relations with hypergeometric functions, Gegenbauer and Chebyshev ...
Doman, B. G. S., Williams, J. K.
openaire   +2 more sources