Geodesic
Orthogonal Polynomials With Weight Function (1 - x)α ( l + x)β + M δ(x + 1) + Nδ(x - 1)
Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 205-214

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We study orthogonal polynomials for which the weight function is a linear combination of the Jacobi weight function and two delta functions at 1 and — 1. These polynomials can be expressed as 4 F 3 hypergeometric functions and they satisfy second order differential equations. They include Krall’s Jacobi type polynomials as special cases. The fourth order differential equation for the latter polynomials is derived in a more simple way.
DOI : 10.4153/CMB-1984-030-7
Mots-clés : 33A65, 33A30 
Koornwinder, Tom H. Orthogonal Polynomials With Weight Function (1 - x)α ( l + x)β + M δ(x + 1) + Nδ(x - 1). Canadian mathematical bulletin, Tome 27 (1984) no. 2, pp. 205-214. doi: 10.4153/CMB-1984-030-7
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