The left-definite Legendre type boundary problem

DOI10.1007/BF01888171zbMath0735.34026OpenAlexW2033286223MaRDI QIDQ1176327

S. Singh

Publication date: 25 June 1992

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01888171

zbMATH Keywords

weighted Sobolev spacepure point spectrumHilbert function spacefourth-order Legendre type differential operatorleft-definite boundary value problem

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)

Related Items (3)

A general left-definite theory for certain self-adjoint operators with applications to differential equations ⋮ A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation ⋮ Orthogonal polynomials and approximation in Sobolev spaces

Cites Work

• Differential operators and the Legendre type polynomials
• Certain differential equations for Tchebycheff polynomials
• ON SOME PROPERTIES OF THE LEGENDRE TYPE DIFFERENTIAL EXPRESSION
• Orthogonal polynomials satisfying fourth order differential equations
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