In this paper, we study the Gamma function, and the representation of a complex variable, using either sequential or appropriate integration ,and its application in solving certain types of integral equations , and their relationship to the Riemann- Zeta function, and used to solve the contour integration ,and to find the integration of Hankel’s contour integral according to Bessel function for integer n.
This research studies solving the linear second order difference
equation with variable coefficients.
For solving this equation we use two theorems and prove these theorems as well
as we use some definitions and main concepts .
