Results 111 to 120 of about 724,539 (169)
On the Lucas polynomials and some of their new identities
Advances in Difference Equations, 2018 The main purpose of this paper is, using the elementary and combination methods, to study the arithmetical properties of the Lucas polynomials and to obtain some new and interesting identities for them.
Zhang Jin
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A Predictable Component of the Internal Tide on a Narrow Continental Shelf
Geophysical Research Letters, Volume 53, Issue 20, 28 October 2026.Abstract Coastal internal tides are considered unpredictable: harmonic fits to depth‐varying baroclinic velocity explain little variance. We show the depth‐averaged coastal internal tide is predictable from astronomical forcing. On the inner shelf, coastal trapped wave (CTW) modes are approximately depth‐uniform, so depth‐averaging recovers their ...
K. Okun +3 more
wiley +1 more source
On a generalization of the Hosoya triangle [PDF]
Notes on Number Theory and Discrete MathematicsThis paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials.
Turhan Çifçi +2 more
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A Unified Block‐Modal Framework for Inverse Source Problems in Heat and Mass Transfer
International Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.ABSTRACT This work presents a unified block–modal framework for inverse source identification in linear diffusive problems arising in heat and mass transfer. Starting from a general parabolic model with mixed boundary operators, the Classical Integral Transform Technique is employed to project the dynamics onto an orthonormal eigenbasis, yielding a ...
André J. P. de Oliveira +5 more
wiley +1 more source
The Gauss-Lucas Theorem for Regular Quaternionic Polynomials
, 2010 We extend the Gauss Lucas Formula for slice regular polynomials over ...
Fabio Vlacci, VLACCI, FABIO
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Determinantal Formulas and Recurrent Relations for Bi-Periodic Fibonacci and Lucas Polynomials
, 2020 In the paper, the authors find closed formulas and recurrent relations for bi-periodic Fibonacci polynomials and for bi-periodic Lucas polynomials in terms of the Hessenberg determinants.
Emrah Polatlı, Feng Qi, Bai-Ni Guo
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On Diophantine equations involving Lucas sequences
Open Mathematics, 2019 In this paper, we shall study the Diophantine equation un = R(m)P(m)Q(m), where un is a Lucas sequence and R, P and Q are polynomials (under weak assumptions).
Trojovský Pavel
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On h(x) Lucas polynomials with application to coding [PDF]
, 2019 In this paper, we study the h(x) Lucas polynomials of order m and the Un matrix, whose elements are Lucas polynomials, h(x)(> 0) being a polynomial with real coefficients.
Prasad, Bandhu
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GENERALIZED IDENTITIES OF BIVARIATE FIBONACCI AND BIVARIATE LUCAS POLYNOMIALS
Journal of Amasya University the Institute of Sciences and Technology, 2020 In this paper, we present generalized identities of bivariate Fibonacci polynomials and bivariate Lucas polynomials and related identities consisting even and odd terms. Binet’s formula will employ to obtain the identities.
Jaya Bhandari +2 more
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A matrix representation of Fibonacci and Lucas polynomials.
, 2019 A matrix representation of Fibonacci and Lucas ...
Kuchma, M.
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