Results 41 to 50 of about 228 (148)

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

A Unified Approach to Computing the Zeros of Orthogonal Polynomials

Journal of New Theory, 2023
We present a unified approach to calculating the zeros of the classical orthogonal polynomials and discuss the electrostatic interpretation and its connection to the energy minimization problem. This approach works for the generalized Bessel polynomials,
Ridha Moussa, James Tipton
doaj   +1 more source

The Effects of Enzyme Pretreatment Extraction on Lipid Recovery With Normal Phase HPLC

Journal of the American Oil Chemists' Society, EarlyView.
ABSTRACT With the increasing interest in the commercialization of microalgal fermentation‐based products, sustainable and efficient oil extraction methods have been developed for manufacturing and analytical testing. Due to the variability and resilience of micro‐algae cell walls, traditional lipid extraction methods such as Folch and Bligh and Dyer ...
Zhehan Jiang, Luke MacPherson, Suzanne M. Budge, Wei Xia, Roberto E. Armenta   +4 more
wiley   +1 more source

Roots of Pell-Lucas polynomials

Annals of the Alexandru Ioan Cuza University - Mathematics, 2022
In this paper, we consider the Pell-Lucas polynomials. We express these polynomials as complex hyperbolic functions. Using this we obtain general root formula for Pell-Lucas polynomials. Furthermore, we give some interesting identities about images of roots of a polynomial under another member of the family.
Birol, Furkan, Koru?glu, Özden
openaire   +1 more source

Some new results for the generalized bivariate Fibonacci and Lucas polynomials [PDF]

Mathematica Moravica
In this paper, new identities are obtained by using the generalized bivariate Fibonacci and Lucas polynomials. Firstly, several binomial summations and the closed formulas for summation of powers are investigated for these polynomials.
Yılmaz Nazmıye
doaj   +1 more source

In‐vitro puncture experiment using alligator teeth tracks the formation of dental microwear and its association with hardness of the diet

The Anatomical Record, EarlyView.
Abstract With the development of dental microwear texture analysis (DMTA), there has been an increasing application of DMTA for dietary estimation in extant and fossil reptiles, including dinosaurs. While numerous feeding experiments exist for herbivorous mammals, knowledge remains limited for carnivorous reptiles. This study aimed to qualitatively and
K. Usami, M. O. Kubo
wiley   +1 more source

Inter‐microscope comparability of dental microwear texture data obtained from different optical profilometers: Part II Deriving instrument‐specific correction equations for meta‐analyses using published data

The Anatomical Record, EarlyView.
Abstract Dental microwear texture analysis (DMTA) has emerged as a valuable method for investigating the feeding ecology of vertebrates. Over the past decade, three‐dimensional topographic data from microscopic regions of tooth surfaces have been collected, and surface texture parameters have been published for both extant and fossil species.
Mugino O. Kubo, T. Kubo, Ellen Schulz‐Kornas, T. M. Kaiser, Daniela E. Winkler   +4 more
wiley   +1 more source

Incomplete generalized Fibonacci and Lucas polynomials [PDF]

Hacettepe Journal of Mathematics and Statistics, 2015
In this paper, we define the incomplete h(x)-Fibonacci and h(x)-Lucas polynomials, we study recurrence relations and some properties of these ...
openaire   +3 more sources

Completion vs. early discontinuation of chemotherapy and the impact on 5‐year all‐cause mortality in women treated for early‐stage breast cancer from 2015 to 2020: A cohort study using a target trial emulation approach

British Journal of Clinical Pharmacology, EarlyView.
Abstract Aim Chemotherapy is given for early‐stage breast cancer; however, some patients discontinue before completing all planned cycles. This study investigated the impact of early chemotherapy discontinuation on treatment outcomes. Methods This retrospective cohort study used a target trial emulation framework to conduct a causal analysis of the all‐
Luke Steventon, Chengsheng Ju, Kenneth K. C. Man, Rebecca Roylance, Diego Ottaviani, Chiara Creed, Michal Sladkowski, Alec Wisner, Li Wei, Pinkie Chambers   +9 more
wiley   +1 more source

Mid‐Domain Effect and Wooded Habitat Shape Mediterranean Reptile Communities

Biological Diversity, EarlyView.
Analyzing a large number of reptiles observed across protected areas in Central Italy, we tested whether the mid‐domain effect explains hump‐shaped richness–elevation patterns. Species richness was best predicted by the combined influence of geometric constraints and woodland cover, revealing two contrasting species clusters and offering a robust ...
Daniele Dendi, Lauren De Nardi, Giovanni Amori, Luca Luiselli   +3 more
wiley   +1 more source