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Le Matematiche | Vol.51, Issue.1 | 2017-05-26 | Pages

Le Matematiche

A non-trivial special case of the biconfluent Heun equation [0,1,1_3]: orthogonality of its solutions

Harold Exton  
Abstract

A special case of the biconfluent Heun equation which is not reducible to a form of a hypergeometric equation is solved by means of a Laplace transform. The solutions are double series which exhibit a type of orthogonality comparable in some respects to that of Fourier-Bessel type.

Original Text (This is the original text for your reference.)

A non-trivial special case of the biconfluent Heun equation [0,1,1_3]: orthogonality of its solutions

A special case of the biconfluent Heun equation which is not reducible to a form of a hypergeometric equation is solved by means of a Laplace transform. The solutions are double series which exhibit a type of orthogonality comparable in some respects to that of Fourier-Bessel type.

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Harold Exton,.A non-trivial special case of the biconfluent Heun equation [0,1,1_3]: orthogonality of its solutions. 51 (1),.

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