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Original Articles

On incomplete symmetric orthogonal polynomials of Laguerre type

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Pages 769-775 | Received 20 Dec 2009, Accepted 21 Feb 2010, Published online: 29 Sep 2010
 

Abstract

By using the extended Sturm–Liouville theorem for symmetric functions, we introduce the following differential equation:

in which and and show that one of its basis solutions is a class of incomplete symmetric polynomials orthogonal with respect to the weight function on (−∞, ∞). We also obtain the norm square value of this orthogonal class.

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