Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/3088 2022 2022 Cairo University, Department of Mathematics, Cairo, Egypt Arwa Arwa In this paper, we derive the Bessel's equation of complex order (n + i) from the classical well-known Bessel's equation. In addition, we generalize that recurrence relation from Bessel's equation of order (n) to Bessel equation of complex order (n + i). On the other hand, we present an algorithm to solve the novel complex order equation with many illustrated examples that explain the validity of our approach. 2024 2024 12 24 10.54216/GJMSA.0110102 https://www.americaspg.com/articleinfo/33/show/3088