Jiri Hrivnak, Lenka Motlochova, and Jiri Patera The properties of two-dimensional generalizations of sine functions that are symmetric or antisymmetric with respect to permutations of their two variables are described. It is shown that the functions are orthogonal when integrated over a finite region F of the real Euclidean space, and that they a ... [J. Math. Phys. 51, 073509 (2010)] published Wed Jul 28, 2010.
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