On Some Results about Complex Order Bessel's Equation

Arwa Hajjari

Cairo University, Department of Mathematics, Cairo, Egypt

Hajjarint8843@gmail.com

Abstract

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.

Keywords: Bessel's equation; complex order; differential equation; partial derivation