On some arithmetical properties of the Genocchi numbers and polynomials.
We study generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions. We present some properties of these quaternions and the relations between the generalized commutative Jacobsthal quaternions and generalized commutative Jacobsthal-Lucas quaternions.
In this paper, we find all the solutions of the Diophantine equation in positive integer variables , where is the balancing number if the exponents , are included in the set .