Results 151 to 160 of about 32,100 (199)

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
openaire   +2 more sources

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.
openaire   +2 more sources

Polynomial Chebyshev splines

Computer Aided Geometric Design, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marie-Laurence Mazure   +1 more
openaire   +2 more sources

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.   +2 more
openaire   +3 more sources

Home - About - Disclaimer - Privacy