Generating new classes of orthogonal polynomials
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Publication:1922840
DOI10.1155/S0161171296000919zbMath0864.33008OpenAlexW2144236032MaRDI QIDQ1922840
Francisco Marcellán, Amílcar Branquinho
Publication date: 30 September 1996
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/47652
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
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On semiclassical linear functionals of classs=2: classification and integral representations ⋮ Orthogonality of quasi-orthogonal polynomials ⋮ On an inverse problem for a linear combination of orthogonal polynomials ⋮ Building some symmetric Laguerre-Hahn functionals of class two at most through the sum of symmetric functionals as pseudofunctions with a Dirac measure at origin ⋮ Some inverse problems for \(d\)-orthogonal polynomials ⋮ Division problem of moment functionals. ⋮ A note on the Geronimus transformation and Sobolev orthogonal polynomials ⋮ Multiple Geronimus transformations ⋮ Semi-classical linear functionals of class three: the symmetric case ⋮ Generalized coherent pairs ⋮ Orthogonal polynomials associated with an inverse quadratic spectral transform ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ Orthogonality of linear combinations of two orthogonal polynomial sequences ⋮ Geronimus transformations of bivariate linear functionals ⋮ Orthogonality properties of linear combinations of orthogonal polynomials ⋮ On the limit relations between classical continuous and discrete orthogonal polynomials ⋮ On the inverse problem of the product of a form by a monomial: the casen=4. Part I
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