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Differential Operators and the Laguerre Type Polynomials

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Publication:4032577
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DOI10.1137/0523037zbMath0772.33004OpenAlexW1984926578MaRDI QIDQ4032577

V. P. Onyango-Otieno, Allan M. Krall, Lance L. Littlejohn, W. Norrie Everitt

Publication date: 1 April 1993

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0523037

zbMATH Keywords

Laguerre type polynomials


Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Weyl theory and its generalizations for ordinary differential equations (34B20) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)


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A general left-definite theory for certain self-adjoint operators with applications to differential equations, The symmetric form of the Koekoeks' Laguerre type differential equation, The Fourth-order Bessel–type Differential Equation, SELF-ADJOINTNESS FOR THE WEYL PROBLEM UNDER AN ENERGY NORM, Perturbed recurrence relations. II: The general case, A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation, Orthogonal polynomials and approximation in Sobolev spaces



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