Results 51 to 60 of about 1,536 (263)
Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
Mathematics, 2020 In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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On the Location of the Zeros of a Polynomial
Journal of Approximation Theory, 1994 It is known [see \textit{S. Kakeya}, Tôhoku Math. J. 2, 140-142 (1912- 1913)] that if \(p(z) = \sum^ n_{\nu = 0} a_ \nu z^ \nu\) is a polynomial of degree \(n\) with real coefficients satisfying ...
Gardner, R.B., Govil, N.K.
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Advanced Functional Materials, EarlyView.A thermodynamic model that incorporates ferroelectric, antiferroelectric, and antiferrodistortive orders of PbZrO3${\rm PbZrO}_3$ is established and parameterized based on experimental measurements and first‐principles calculations. We derive a Clapeyron‐like equation for describing the temperature‐dependence of critical electric fields for the ...
Zhiyang Wang +3 more
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An Algebraic Criterion of Zero Solutions of Some Dynamic Systems
Abstract and Applied Analysis, 2012 We establish some algebraic results on the zeros of some exponential polynomials and a real coefficient polynomial. Based on the basic theorem, we develop a decomposition technique to investigate the stability of two coupled systems and their discrete ...
Ying Wang, Baodong Zheng, Chunrui Zhang
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The quality of zero bounds for complex polynomials. [PDF]
PLoS ONE, 2012 In this paper, we evaluate the quality of zero bounds on the moduli of univariate complex polynomials. We select classical and recently developed bounds and evaluate their quality by using several sets of complex polynomials.
Matthias Dehmer, Yury Robertovich Tsoy
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Polynomial automata: Zeroness and applications [PDF]
2017 32nd Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), 2017 We introduce a generalisation of weighted automata over a field, called polynomial automata, and we analyse the complexity of the Zeroness Problem in this model, that is, whether a given automaton outputs zero on all words. While this problem is non-primitive recursive in general, we highlight a subclass of polynomial automata for which the Zeroness ...
Michael Benedikt +3 more
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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Dynamics of the Zeros of Analytic Continued (h,q)-Euler Polynomials
Abstract and Applied Analysis, 2014 In this paper, we study that the (h,q)-Euler numbers En,q(h) and (h,q)-Euler polynomials En,q(h)(x) are analytic continued to Eq(h)(s) and Eq(h)(s,w). We investigate the new concept of dynamics of the zeros of analytic continued polynomials related to ...
C. S. Ryoo
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Universal Conductance Fluctuations in Quantum Anomalous Hall Insulators
Advanced Materials, EarlyView.Universal conductance fluctuations are observed in mesoscopic quantum anomalous Hall insulators. Two distinct fluctuation patterns are identified, arising from different interference processes of bulk and chiral edge states, respectively. These findings unveil rich quantum interference phenomena in quantum anomalous Hall insulators and provide insights
Peng Deng +11 more
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ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS
Journal of New Theory, 2015 The purpose of this article is to derive some functions which map the zeros of Fibonacci polynomials to the zeros of Lucas polynomials. Also we find some equations which are satisfied by F 0 n (x) and so L 00 n (x).
Nihal Yılmaz Özgür +1 more
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