Results 221 to 230 of about 73,008 (249)
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Analysis of time-varying discrete systems using discrete legendre orthogonal polynomials
Journal of the Franklin Institute, 1987A finite series expansion method using discrete Legendre orthogonal polynomials (DLOPs) is applied to analyze linear time-varying discrete systems. An effective algorithm is derived to establish a representation which relates to DLOP coefficient vector of a product function to those of its two-component functions.
Hwang, Chyi, Shyu, Kuo-Kai
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Orthogonal Polynomials and a Discrete Boundary Value Problem II
SIAM Journal on Mathematical Analysis, 1992The present paper is a continuation of an earlier work (see the paper reviewed above). The monotonicity condition of the sequence \(\{\beta_ n\}\) is given up. The result is applied to the measures \(d\mu(x)=(1-x^ 2)^ \alpha| x|^{2\beta+1}dx\) and \(d\mu(x)=| x|^{2\alpha+1} e^{-x^ 2}dx\), \(\alpha,\beta>-1\).
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Characterizations of discrete classical orthogonal polynomials
1995Summary: We give a simple unified proof of various characterizations of discrete classical orthogonal polynomials including two new ones.
Kwon K.H, Lee J. K, Yoo B.H
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Polynomials Orthogonal over Discrete Domains
SIAM Review, 1959Dent, Benjamin A., Newhouse, Albert
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Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2011Satoru Odake
exaly
On Generating Orthogonal Polynomials
SIAM Journal on Scientific and Statistical Computing, 1982Walter Gautschi
exaly