On the “linearization” of the products of classical orthogonal polynomials
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 5, pp. 1322-1327
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In variational methods of solving quantum-mechanical problems, when calculating the energy matrix, the problem arises of the expansion of the products of classical orthogonal polynomials in polynomials of the same type. Convenient recurrence methods of calculating the coefficients of these expansions are given.
@article{ZVMMF_1979_19_5_a23,
author = {V. D. Efros},
title = {On the {\textquotedblleft}linearization{\textquotedblright} of the products of classical orthogonal polynomials},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1322--1327},
publisher = {mathdoc},
volume = {19},
number = {5},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a23/}
}
TY - JOUR AU - V. D. Efros TI - On the “linearization” of the products of classical orthogonal polynomials JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 1322 EP - 1327 VL - 19 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a23/ LA - ru ID - ZVMMF_1979_19_5_a23 ER -
V. D. Efros. On the “linearization” of the products of classical orthogonal polynomials. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 5, pp. 1322-1327. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a23/