Nonclassical Orthogonal Polynomials as Solutions to Second Order Differential Equations
Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 291-295
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One of the more popular problems today in the area of orthogonal polynomials is the classification of all orthogonal polynomial solutions to the second order differential equation: In this paper, we show that the Laguerre type and Jacobi type polynomials satisfy such a second order equation.
Littlejohn, Lance L.; Shore, Samuel D. Nonclassical Orthogonal Polynomials as Solutions to Second Order Differential Equations. Canadian mathematical bulletin, Tome 25 (1982) no. 3, pp. 291-295. doi: 10.4153/CMB-1982-040-2
@article{10_4153_CMB_1982_040_2,
author = {Littlejohn, Lance L. and Shore, Samuel D.},
title = {Nonclassical {Orthogonal} {Polynomials} as {Solutions} to {Second} {Order} {Differential} {Equations}},
journal = {Canadian mathematical bulletin},
pages = {291--295},
year = {1982},
volume = {25},
number = {3},
doi = {10.4153/CMB-1982-040-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-040-2/}
}
TY - JOUR AU - Littlejohn, Lance L. AU - Shore, Samuel D. TI - Nonclassical Orthogonal Polynomials as Solutions to Second Order Differential Equations JO - Canadian mathematical bulletin PY - 1982 SP - 291 EP - 295 VL - 25 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-040-2/ DO - 10.4153/CMB-1982-040-2 ID - 10_4153_CMB_1982_040_2 ER -
%0 Journal Article %A Littlejohn, Lance L. %A Shore, Samuel D. %T Nonclassical Orthogonal Polynomials as Solutions to Second Order Differential Equations %J Canadian mathematical bulletin %D 1982 %P 291-295 %V 25 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1982-040-2/ %R 10.4153/CMB-1982-040-2 %F 10_4153_CMB_1982_040_2
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