Research on the Spinors of Jacobsthal and Jacobsthal–Lucas Hybrid Number Polynomials
By drawing on the concepts of Jacobsthal polynomials, Jacobsthal–Lucas polynomials, and hybrid numbers, this paper constructs, for the first time, a novel class of mathematical objects with recursive properties—namely, the sequences of Jacobsthal and ...
Yong Deng, Yanni Yang
doaj +1 more source
A generalization of Lucas' theorem to vector spaces
The classical Lucas' theorem on critical points of complex-valued polynomials has been generalized (cf. [1]) to vector-valued polynomials defined on K-inner product spaces.
Neyamat Zaheer
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Discordance Between Patient and Physician Global Assessments in Early Systemic Sclerosis
Objective This study aims to identify factors associated with patient global assessment (PtGA) and physician global assessment (PhGA) and discordance between them in systemic sclerosis (SSc). Methods Data from adults with early SSc (<5 years) from the Collaborative National Quality and Efficacy Registry were included.
Ellen Romich +35 more
wiley +1 more source
On Chebyshev Polynomials, Fibonacci Polynomials, and Their Derivatives
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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SNR-Efficient Inhomogeneous Magnetization Transfer (ihMT) for Clinical Applications at 7 T. [PDF]
ABSTRACT Purpose Inhomogeneous MT (ihMT) is an MRI modality sensitive to Myelin, the lipid‐rich membrane surrounding the axons. A novel ihMT saturation strategy and its associated B1+ correction at UHF are proposed. The aim is to generate a strong ihMT effect within a clinically compatible scan time while complying with SAR constraints at 7 T.
Anderson T +8 more
europepmc +2 more sources
Laser‐Induced Local De‐Doping in Organic Semiconductors
The polymer PBTTT‐C14 doped with the small molecule acceptor F4TCNQ is considered as a benchmark material system. Mask‐free, microscale patterning of the doping level via laser‐induced heating and sublimation of dopant molecules is shown. Controlling laser irradiance and swath spacing allows dopant level control with laser‐limited resolution, opening ...
Christian Rainer +5 more
wiley +1 more source
Some identities of bivariate Pell and bivariate Pell-Lucas polynomials
In this paper, we obtain some identities for the bivariate Pell polynomials and bivariate Pell-Lucas polynomials. We establish some sums and connection formulas involving them.
Yashwant Panwar
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Modular, Textile‐Based Soft Robotic Grippers for Agricultural Produce Handling
This article introduces textile‐based pneumatic grippers that transform simple textiles into robust bending actuators. Detailed experiments uncover how cut geometry and fabric selection shape performance. Successful handling of fragile agricultural items showcases the potential of textile robotics for safe, scalable automation in food processing and ...
Zeyu Hou +4 more
wiley +1 more source
Some new results for the generalized bivariate Fibonacci and Lucas polynomials [PDF]
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
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A Unified Approach to Computing the Zeros of Orthogonal Polynomials
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
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