Results 41 to 50 of about 724,539 (169)
A generalization of Lucas' theorem to vector spaces
International Journal of Mathematics and Mathematical Sciences, 1993 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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Laser‐Induced Local De‐Doping in Organic Semiconductors
Advanced Materials Technologies, EarlyView.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
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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Modular, Textile‐Based Soft Robotic Grippers for Agricultural Produce Handling
Advanced Robotics Research, EarlyView.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 PROPERTIES OF BIVARIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS [PDF]
, 2020 In this work, we introduce bivariate Fibonacci quaternion polynomials andbivariate Lucas quaternion polynomials. We present generating function,Binet formula, matrix representation, binomial formulas and some basicidentities for the bivariate Fibonacci ...
Ozturk, Arzu Ozkoc +4 more
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Some identities of bivariate Pell and bivariate Pell-Lucas polynomials
Journal of Amasya University the Institute of Sciences and Technology, 2023 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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Vertical Price Transmission in Food Markets: New Evidence From Meta‐Analysis
Agribusiness, EarlyView.ABSTRACT A growing body of empirical research has examined price dynamics along the food supply chain, yet findings remain heterogeneous and often conflicting. This study conducts a meta‐analysis of 140 studies, totaling 652 observations, to examine (1) the reported presence of asymmetric price transmission and (2) the reported direction of price ...
Sushan K C +2 more
wiley +1 more source
Some new results for the generalized bivariate Fibonacci and Lucas polynomials [PDF]
Mathematica MoravicaIn 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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Divisors and specializations of Lucas polynomials [PDF]
Journal of Combinatorics, 2015 Minor typos are fixed, new references are added.
Amdeberhan, Tewodros +2 more
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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
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