COMPLEX ANALYSIS AND OPERATOR THEORY, cilt.11, sa.1, ss.21-34, 2017 (SCI-Expanded)
In this paper, we prove the analyticity property of the complex time scales exponential function , where and z is a regressive complex variable. We also prove various properties of the function , where , one of which yields the alternative expression of the exponential function in terms of the contour integral in the regressive complex domain.