Sine functions on compact commutative hypergroups

Exponential monomials on hypergroup joins

“…for each x, y in K. Putting x = o we have g = c, hence g is an m-sine function, and by the results in [16], g is identically zero. It follows that f = f (o)m and our theorem is proved.…”

“…In [16] M. Voit proved that on commutative compact hypergroups every m-sine function is zero. It is not known if this statement is true on non-commutative compact hypergroups.…”