Results 241 to 250 of about 80,027 (267)
Some of the next articles are maybe not open access.
Classical Continuous Orthogonal Polynomials
2020Classical orthogonal polynomials (Hermite, Laguerre, Jacobi and Bessel) constitute the most important families of orthogonal polynomials. They appear in mathematical physics when Sturn-Liouville problems for hypergeometric differential equation are studied. These families of orthogonal polynomials have specific properties. Our main aim is to: 1.
openaire +1 more source
Classification of classical orthogonal polynomials
1997The authors consider the differential equation \[ l_2(x)y''+ l_1(x)y'= \lambda_n y(x), \tag{\(*\)} \] , where \(x\in R\), \(l_1(x)= l_{11}x+ l_{10}\) and \(l_2(x)= l_{22}x^2+ l_{21}x+ l_{20}\) with certain coefficients \(l_{ij}\) while \(\lambda_n= n(n-1)l_{22}+ nl_{11}\) \((n\geq 0)\), and discuss different cases for which \((*)\) has polynomial ...
KIL H. KWON, Lance L. Littlejohn
openaire +1 more source
Classical orthogonal polynomials in two variables: a matrix approach
Numerical Algorithms, 2005Lidia Fernández +2 more
exaly
A matrix Rodrigues formula for classical orthogonal polynomials in two variables
Journal of Approximation Theory, 2009Lidia Fernández +2 more
exaly
A characterization of symmetricTμ-classical monic orthogonal polynomials by a structure relation
Integral Transforms and Special Functions, 2014L Khériji
exaly
Sharp bounds for the extreme zeros of classical orthogonal polynomials
Journal of Approximation Theory, 2010Dimitar K Dimitrov, Geno Nikolov
exaly
The Relation of the Classical Orthogonal Polynomials to the Polynomials of Appell
American Journal of Mathematics, 1936openaire +2 more sources
Fourth-order differential equation for the co-modified of semi-classical orthogonal polynomials
Journal of Computational and Applied Mathematics, 1990A Ronveaux, P Maroni
exaly