Product of Matrix exponential?

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Is there an expression, in general, for the product of two matrix exponentials, for non-commuting matrices?

i.e. something of the form,
[tex] e^Ae^B = e^{( * )} [/tex]

where the ( * ) would, I assume, depend in some way on the commutator [itex] [A,B] [/itex]?

I can only find examples online when [itex] [A,B] = 0 [/itex] which is rather trivial, but nothing about the more general case...
 

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