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The finite group of the Kummer solutions
2005
Integral transforms and special functions
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In this short communication, which is self-contained, we show that the set of 24 Kummer solutions of the classical hypergeometric differential equation has an elegant, simple group theoretic structure associated with the symmetries of a cube; or, in other words, that the underlying symmetry group is the symmetric group S 4 . Running head: On the Kummer solutions. E.E. Kummer [5] showed that the second order ordinary differential equation, characterized by three regular singular points at 0, 1
doi:10.1080/10652460410001672997
fatcat:dhozogcqyrgxvfajafhjio6ofy