On the Diamond Bessel Klein Gordon operator related to linear differential equation

In this paper, first, we study the Green function of the Diamond Klein Gordon Bessel operator iterated k times. We give a sense of Distribution theory considering the properties of the convolution of the Green function. Finally, we solve the following equation (♢B+d^2)ku(x)=m∑r=0cr(♢B+d^2)kδ. It was found that the type of above equation depend on the relationship between the value k and m .