In this article, we discuss the integral representation of quaternionic harmonic functions in the half space with the general boundary condition. Next, we derive a lower bound from an upper one for quaternionic harmonic functions. These results generalize some of the classic results from the case of plane to the case of noncommutative quaterninionic half space. Copyright (c) 2017 John Wiley & Sons, Ltd.

%8 2017-10 %D 2017 %I WILEY %J MATHEMATICAL METHODS IN THE APPLIED SCIENCES %P 5484-5489 %V 40 %@ 0170-4214 %U http://repository.umac.mo/handle/10692/1420 %W UM