Geodesic
Generalization of classical orthogonal polynomials to the~case of two intervals
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1103-1110

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We have found polynomials which may be considered as generalizations of classical orthogonal polynomials to the case of two intervals. Namely, for some $n$ they have properties of classical Jacobi, Laguerre and Hermite polynomials (orthogonality of derivatives, solution of differential equations of second order). 
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     author = {A. L. Lukashov},
     title = {Generalization of classical orthogonal polynomials to the~case of two intervals},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1103--1110},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a7/}
}
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A. L. Lukashov. Generalization of classical orthogonal polynomials to the~case of two intervals. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1103-1110. http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a7/