Results 61 to 70 of about 4,398 (223)
Sums of certain products of fibonacci & Lucas numbers-part III [PDF]
, 2017 For the Fibonacci numbers, the summation formula σnk=1 Fk2=FnFn+1is well-known. Its charm lies in the fact that the right side is a product of terms from the Fibonacci sequence.
Melham, RS
core
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
Journal of Applied Mathematics, 2014 We study the relationship of the Chebyshev polynomials, Fibonacci polynomials, and their rth derivatives. We get the formulas for the rth derivatives of Chebyshev polynomials being represented by Chebyshev polynomials and Fibonacci polynomials.
Yang Li
doaj +1 more source
Magnetic Resonance in Medicine, Volume 95, Issue 5, Page 2627-2643, May 2026.ABSTRACT Purpose To design 3D radial spiral phyllotaxis trajectories aimed at removing phase inconsistencies, improving image quality, and enhancing parametric mapping accuracy by acquiring nearly opposing spokes starting from both hemispheres in 3D radial k‐space. Methods Two 3D radial trajectories, pole‐to‐pole and continuous spiral phyllotaxis, were
Eva S. Peper +12 more
wiley +1 more source
Discrete Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Circulants and the factorization of the Fibonacci–like numbers [PDF]
, 2006 summary:Several authors gave various factorizations of the Fibonacci and Lucas numbers. The relations are derived with the help of connections between determinants of tridiagonal matrices and the Fibonacci and Lucas numbers using the Chebyshev ...
Trojovský, Pavel, Seibert, Jaroslav
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Mind the Gap: Linking Refactorings and Code Smells in Elixir
Journal of Software: Evolution and Process, Volume 38, Issue 5, May 2026.ABSTRACT Elixir is a functional programming language increasingly used in the industry to develop scalable and fault‐tolerant concurrent systems more easily and with fewer computational resources. In previous studies, we cataloged 35 code smells and 82 refactorings tailored for this language, validating them with over 300 experienced developers ...
Lucas Vegi, Marco Túlio Valente
wiley +1 more source
Closed forms for finite sums of weighted products of generalized Fibonacci numbers [PDF]
, 2017 In this paper, we present closed forms for certain finite sums of weighted products of generalized Fibonacci numbers. Indeed, we present seven multi-parameter families of such finite sums, all of which we believe to be new. In each of these families, the
Melham, RS
core
On the Sum of Reciprocal Generalized Fibonacci Numbers
Abstract and Applied Analysis, 2014 We consider infinite sums derived from the reciprocals of the generalized Fibonacci numbers. We obtain some new and interesting identities for the generalized Fibonacci numbers.
Pingzhi Yuan, Zilong He, Junyi Zhou
doaj +1 more source
Total Variation Regularized GRACE(‐FO) Inversion
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.Abstract Gravity estimation from satellite‐satellite tracking missions such as GRACE(‐FO) is an ill‐posed inverse problem. The conventional approach to regularized inversion of GRACE(‐FO) measurements uses L2 ${L}_{2}$‐Tikhonov regularization with a heuristic constraint matrix derived based on knowledge of spatiotemporal distribution of the signal ...
G. Jacob +4 more
wiley +1 more source
Fibonacci numbers: Brief history and counting problems
, 2020 You undoubtedly know about Fibonacci numbers. But did you know these facts about them?
Britz, Thomas ; https://orcid.org/
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