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Music score copyright protection based on mixed low-order quaternion Franklin moments. [PDF]

PLoS One
Huang Q, Zhu J, Xian Y, Peng J.
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A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels. [PDF]

Heliyon
Sadri K, Amilo D, Hinçal E, Hosseini K, Salahshour S.   +4 more
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A generalization of the Chebyshev polynomials [PDF]

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 ...
Nigel Lawrence, Yang Chen
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A note on Chebyshev polynomials

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Here new families of generating functions and identities concerning the Chebyshev polynomials are derived. It is shown that the proposed method allows the derivation of sum rules involving products of Chebyshev polynomials and addition theorems. The possibility of extending the results to include generating functions involving products of Chebyshev and
DATTOLI G., SACCHETTI, Dario, CESARANO C.   +2 more
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Polynomial Chebyshev splines

Computer Aided Geometric Design, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marie-Laurence Mazure, Pierre-Jean Laurent   +1 more
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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 \(
Fuad S. Mulla, Mourad E. H. Ismail
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Chebyshev Spaces of Polynomials

SIAM Journal on Numerical Analysis, 1976
Spaces of polynomials of degrees $ \leqq n - 1$ which satisfy $r < n$ interpolatory conditions of the form $p^{(j)} (\xi _i ) = 0$ are discussed. Necessary and sufficient conditions for such spaces to be Chebyshev spaces are given.
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