Expansions in terms of generalized helmholtz polynomials and associated functions: Applicable Analysis: Vol 10, No 3

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Abstract

In this paper, necessary and sufficient conditions are developed to enable solutions of the equation

to be expanded in terms of a set of polynomial solutions and their associated functions. The domain of validity for the polynomial expansion is for whole x-t plane; whereas the expansions in associated fucntions are confined to the hald-plane t>2ϵσ where σ is a positive constant.

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Expansions in terms of generalized helmholtz polynomials and associated functions

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