Geodesic
Asymptotics of orthogonal polynomials in a neighborhood of the endpoints of the interval of orthogonality
Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 35-50 
A. I. Aptekarev. Asymptotics of orthogonal polynomials in a neighborhood of the endpoints of the interval of orthogonality. Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 35-50. http://geodesic.mathdoc.fr/item/SM_1993_76_1_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The well-known Mehler–Heine asymptotic formula for the classical Jacobi polynomials is extended to broader classes of orthogonal polynomials.

[1] Sege G., Ortogonalnye mnogochleny, Fizmatizdat, M., 1962

[2] Levitan B. M., Sargsyan I. S., Vvedenie v spektralnuyu teoriyu, Nauka, M., 1970 | MR | Zbl

[3] Badkov V. M., “Asimptoticheskoe povedenie ortogonalnykh mnogochlenov”, Matem. sb., 109(151) (1979), 46–59 | MR | Zbl

[4] Mate A., Nevai P., Totik V., “What is beyond Szegö's theory of orthogonal polynomials?”, Lecture Notes in Math., 1105, 1984, 502–510 | MR | Zbl

[5] Rakhmanov E. A., “Ob asimptoticheskikh svoistvakh mnogochlenov, ortogonalnykh na okruzhnosti s vesami, ne udovletvoryayuschimi usloviyu Sege”, Matem. sb., 130(172) (1986), 151–169 | MR