论文信息 - Further polynomial-type eigenfunctions

Further polynomial-type eigenfunctions

The method developed previously by the author for obtaining eigenfunctions in the form (polynomial)*exponential (polynomial) for a linear second-order differential equation in normal form is extended to embrace the general case when the interaction potential (or square of the refractive index profile) has the form (polynomial)/(polynomial). Various situations arise in the development of the theory, some of which can be concluded algebraically, but the majority require numerical calculations regarding the rank of quite a general matrix containing many unknown parameters.

J. Heading

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