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Incomplete beta-function expansions of the solutions to the confluent Heun equation | Artur Ishkhanyan
; | Date: |
9 Sep 2009 | Abstract: | Several expansions of the solutions to the confluent Heun equation in terms
of incomplete Beta functions are constructed. A new type of expansion involving
certain combinations of the incomplete Beta functions as expansion functions is
introduced. The necessary and sufficient conditions when the derived expansions
are terminated, thus generating closed-form solutions, are discussed. It is
shown that termination of a Beta-function series solution always leads to a
solution that is necessarily an elementary function. | Source: | arXiv, 0909.1686 | Services: | Forum | Review | PDF | Favorites |
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