Polynomial solutions of certain classes of ordinary differential equations
作者:
GabrielB. Costa,
LawrenceE. Levine,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1989)
卷期:
Volume 20,
issue 1
页码: 1-11
ISSN:0020-739X
年代: 1989
DOI:10.1080/0020739890200101
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Several classes of ordinary differential equations which have polynomial solutions are studied. In particular, generalizations of the Hermite, Laguerre, Legendre, and Chebyshev equations are given for which such solutions exist. These solutions turn out to be generalizations of well‐known polynomials and enjoy similar properties.
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