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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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