Results 41 to 50 of about 497 (203)

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

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

Coefficient Inequalities using Lucas Polynomials

Turkish Journal of Computer and Mathematics Education (TURCOMAT), 2021
The aim of this paper is to apply Lucas polynomial, in order to obtain the initial coefficients on and  belonging to the new subclass   of analytic, univalent and Sakaguchi functions as defined in the open unit disc . Furthermore, the Fekete – Szego inequality is also investigated for this subclass. 2010 Mathematical Subject Classification: 30C45,
openaire   +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

Several identities involving the Fibonacci polynomials and Lucas polynomials [PDF]

Journal of Inequalities and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Zhengang, Zhang, Wenpeng
openaire   +2 more sources

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

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

Lucas-Euler relations using balancing and Lucas-balancing polynomials

, 2020
11 ...
Frontczak, Robert, Goy, Taras
openaire   +3 more sources

A Guide to Bayesian Optimization in Bioprocess Engineering

Biotechnology and Bioengineering, EarlyView.
ABSTRACT Bayesian optimization has become widely popular across various experimental sciences due to its favorable attributes: it can handle noisy data, perform well with relatively small data sets, and provide adaptive suggestions for sequential experimentation.
Maximilian Siska, Emma Pajak, Katrin Rosenthal, Antonio del Rio Chanona, Eric von Lieres, Laura M. Helleckes   +5 more
wiley   +1 more source

Lucas polynomials semi-analytic solution for fractional multi-term initial value problems

Advances in Difference Equations, 2019
Herein, we use the generalized Lucas polynomials to find an approximate numerical solution for fractional initial value problems (FIVPs). The method depends on the operational matrices for fractional differentiation and integration of generalized Lucas ...
Mahmoud M. Mokhtar, Amany S. Mohamed
doaj   +1 more source