Geodesic
Convolution Orthogonality and the Jacobi Polynominals
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 298-308

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DOI

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.
DOI : 10.4153/CMB-1989-043-2
Mots-clés : Orthogonal polynomial, Jacobi Polynominals, Orthogonal Polynominals withrespect to convolution, Convolution, Three Term Recursion Relation 
Allaway, Wm. R. Convolution Orthogonality and the Jacobi Polynominals. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 298-308. doi: 10.4153/CMB-1989-043-2
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     author = {Allaway, Wm. R.},
     title = {Convolution {Orthogonality} and the {Jacobi} {Polynominals}},
     journal = {Canadian mathematical bulletin},
     pages = {298--308},
     year = {1989},
     volume = {32},
     number = {3},
     doi = {10.4153/CMB-1989-043-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-043-2/}
}
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