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Convolution Orthogonality and the Jacobi Polynominals
Published online by Cambridge University Press: 20 November 2018
Abstract
Let α and β be any two real numbers and let be the Jacobi polynomial sequences. For any non-zero real number a,
is an orthogonal polynomial sequence with respect to convolution if and only if either (i) b = 1, α = 0 and β + 1 is not equal to a negative integer or (ii) b = — 1, β = 0 and α + 1 is not equal to a negative integer.
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- Copyright © Canadian Mathematical Society 1989
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