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
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The well-known Mehler–Heine asymptotic formula for the classical Jacobi polynomials is extended to broader classes of orthogonal polynomials.
@article{SM_1993_76_1_a2,
author = {A. I. Aptekarev},
title = {Asymptotics of orthogonal polynomials in a~neighborhood of the~endpoints of the~interval of orthogonality},
journal = {Sbornik. Mathematics},
pages = {35--50},
publisher = {mathdoc},
volume = {76},
number = {1},
year = {1993},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1993_76_1_a2/}
}
TY - JOUR AU - A. I. Aptekarev TI - Asymptotics of orthogonal polynomials in a~neighborhood of the~endpoints of the~interval of orthogonality JO - Sbornik. Mathematics PY - 1993 SP - 35 EP - 50 VL - 76 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_1993_76_1_a2/ LA - en ID - SM_1993_76_1_a2 ER -
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/