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Dynamical Characterization of Plates Containing Plane Cracks with Functional Gradient Materials. [PDF]

Materials (Basel)
Liu G, Xi A, Qi Y, Han W.
europepmc   +1 more source

Quantum key-based medical privacy protection and sharing scheme on blockchain. [PDF]

Sci Rep
Zhu D, Zhou H, Zhou Z, Wu J, Zhao J.
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TC-KAN: Time-Conditioned Kolmogorov-Arnold Networks with Time-Dependent Activations for Long-Term Time Series Forecasting. [PDF]

Sensors (Basel)
Shen Z, Fu Y, Weng L, Han K, Xu Y.
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An Unsupervised Fusion Strategy for Anomaly Detection via Chebyshev Graph Convolution and a Modified Adversarial Network. [PDF]

Biomimetics (Basel)
Manafi H, Mahan F, Izadkhah H.
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Numerical simulation of a nonlinear hepatitis B virus mathematical model using the Dickson collocation technique. [PDF]

Sci Rep
El-Shenawy A, El-Gamel M, Abouelsaid M.
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Chebyshev polynomials in several variables

, 1972
Lidl, Rudolf, Wells, Ch.
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A generalization of the Chebyshev polynomials

Journal of Physics A: Mathematical and General, 2002
Consider the weight function \[ p(x)= \begin{cases} {1\over {\pi}} \sqrt{{\prod_{j=1}^g (x-\alpha_j)} \over{(1-x^2)\prod_{j=1}^g (x-\beta_j)}}&\text{ for } x\in E \\ 0 &\text{ otherwise}\end{cases} \] where \(E\) is the union of \(g+1\) disjoint intervals, \( E=[-1, \alpha_1] \bigcup_{j=1}^{g-1} [\beta_j, \alpha_{j+1}]\bigcup [\beta_g, 1]\), \(-1 ...
Chen, Yang, Lawrence, Nigel
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On the Generalized Chebyshev Polynomials

SIAM Journal on Mathematical Analysis, 1987
We study the spectrum of the Jacobi matrix \((\delta_{m,n+1}+\delta_{m,n-1}+aq^ n\delta_{m,n})\), \(m,n=0,1,..\). and the corresponding orthogonal polynomials. The spectral measure is computed when \(q\in (-1,1)\) and sufficient conditions are given to guarantee the absolute continuity of the spectral measure. When \(q>1\) or \(
Ismail, Mourad E. H., Mulla, Fuad S.
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