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most citedLadder operators and a second--order difference equation for general discrete Sobolev orthogonal polynomials

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math.CA2017

Differential operator for discrete Gegenbauer--Sobolev orthogonal polynomials: eigenvalues and asymptotics

Lance L. Littlejohn, Juan F. Mañas-Mañas, Juan J. Moreno--Balcázar +1

We consider the following discrete Sobolev inner product involving the Gegenbauer weight $$(f,g)_S:=\int_{-1}^1f(x)g(x)(1-x^2)^αdx+M\big[f^{(j)}(-1)g^{(j)}(-1)+f^{(j)}(1)g^{(j)}(1)…