Results 161 to 170 of about 497 (203)

Development of an Anisotropic Hyperelastic Material Model for Porcine Colorectal Tissues. [PDF]

Bioengineering (Basel)
Fahmy Y, Trabia MB, Ward B, Gallup L, Froehlich M.   +4 more
europepmc   +1 more source

Evidence of compensatory neural hyperactivity in a subgroup of breast cancer survivors treated with chemotherapy and its association with brain aging. [PDF]

Front Aging Neurosci
Mulholland MM, Stuifbergen A, De La Torre Schutz A, Franco Rocha OY, Blayney DW, Kesler SR.   +5 more
europepmc   +1 more source

Finerenone for Heart Failure and Risk Estimated by the PREDICT-HFpEF Model: A Secondary Analysis of FINEARTS-HF.

JAMA Cardiol
McDowell K, Docherty KF, Campbell RT, Henderson AD, Jhund PS, Claggett BL, Desai AS, Lay-Flurrie J, Hofmeister L, Scalise A, Lam CSP, Petrie MC, Schou M, Senni M, Shah SJ, Udell JA, Zannad F, Pitt B, Vaduganathan M, Solomon SD, McMurray JJV.   +20 more
europepmc   +1 more source

Properties of Fibonacci and Lucas polynomials

, 2020
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Lucas-type associated polynomials

Mathematica Applicanda, 2023
Summary: In this paper, we define a new type of Lucas polynomials known as Lucas-type associated polynomials and investigate their fundamental properties and identities. An interesting formula for Lucas-type associated polynomials can be derived using Leibniz's rule for derivatives, defined by Rodrigue's Lucas-type formula.
Guettai, Ghania, Laissaoui, Diffalah, Rahmani, Mourad   +2 more
openaire   +1 more source

\(d\)-Fibonacci and \(d\)-Lucas polynomials

2021
Summary: Riordan arrays give us an intuitive method of solving combinatorial problems. They also help to apprehend number patterns and to prove many theorems. In this paper, we consider the Pascal matrix, define a new generalization of Fibonacci and Lucas polynomials called \(d\)-Fibonacci and \(d\)-Lucas polynomials (respectively) and provide their ...
Sadaoui, Boualem, Krelifa, Ali
openaire   +1 more source

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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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

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.
Guo, Dongwei, Chu, Wenchang
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Infinite sums for Fibonacci polynomials and Lucas polynomials

The Ramanujan Journal, 2018
In the paper, the following two interesting theorems are proved. Theorem 1. Let \(\{a_n\}\) be a sequence of numbers and \(|q| 0\) then \[\sum_{n=1}^{\infty} \frac{na_n}{F^2_{2n}(t)} = (t^2 + 4)\sum_{m=1}^{\infty} mb_m\beta(t)^{4m}\] and \[\sum_{n=1}^{\infty} \frac{na_n}{L^2_{2n}(t)} = \sum_{m=1}^{\infty} mb_m(\beta(t)^{4m} - 4\beta(t)^{8m});\] if \(t
Bing He, Ruiming Zhang
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