Results 61 to 70 of about 1,200,406 (213)
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
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Journal of Geophysical Research: Space Physics, Volume 131, Issue 8, August 2026.Abstract Accurate determination of the wave propagation direction is essential for understanding wave–particle interactions in space plasmas as well as the source and propagation characteristics of waves. Traditional wave normal angle (WNA) analysis methods rely on the plane‐wave assumption and cannot describe realistic wave fields with a distribution ...
Ning Kang +5 more
wiley +1 more source
Fermat $k$-Fibonacci and $k$-Lucas numbers [PDF]
, 2020 summary:Using the lower bound of linear forms in logarithms of Matveev and the theory of continued fractions by means of a variation of a result of Dujella and Pethő, we find all $k$-Fibonacci and $k$-Lucas numbers which are Fermat numbers.
Herrera, Jose L., Bravo, Jhon J.
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Annals of the New York Academy of Sciences, Volume 1562, Issue 1, August 2026.Harmony and rhythm perception are often studied separately, yet both reveal a shared sensitivity to low‐order integer ratios. In harmony, intervals like the octave (2:1) and fifth (3:2) predict consonance and ease of encoding. In rhythm, patterns with simple ratios (e.g., 2:1, 3:2) are easier to perceive, reproduce, and remember.
Nicola Di Stefano +2 more
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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
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Skew shapes, Ehrhart positivity, and beyond
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract A classical result by Kreweras (1965) allows one to compute the number of plane partitions of a given skew shape and bounded parts as certain determinants. We prove that these determinants expand as polynomials with nonnegative coefficients.
Luis Ferroni +2 more
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Convoluted convolved Fibonacci numbers
, 2020 The convolved Fibonacci numbers F (r) In this note we consider some related numbers that can be expressed in terms of convolved Fibonacci numbers. These numbers appear in the numerical evaluation of a constant arising in the study of the average density ...
Numbers Fibonacci +3 more
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Clinical Pharmacology &Therapeutics, Volume 120, Issue 1, Page 160-167, July 2026.Cadmium exposure causes serious health consequences; however, there is no clinically approved antidote for cadmium poisoning. This Phase 1a/1b trial aimed to investigate safety, tolerability, and pharmacokinetics of Sodium (S)‐2‐(dithiocarboxylato((2S,3R,4R,5R)‐2,3,4,5,6‐pentahydroxyhexyl) amino)‐4‐(methylthio) butanoate (GMDTC), a novel chelating ...
Xuefeng Ren +21 more
wiley +1 more source
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
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Binomials transformation formulae for scaled Fibonacci numbers
Open Mathematics, 2017 The aim of the paper is to present the binomial transformation formulae of Fibonacci numbers scaled by complex multipliers. Many of these new and nontrivial relations follow from the fundamental properties of the so-called delta-Fibonacci numbers defined
Hetmaniok Edyta +2 more
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