Analytic Solution of Multipantograph Equation

where λ, μ1, μ2, . . . , μk, y0 ∈ C, has been studied by numerous authors e.g., 1–8 . Secondorder versions of this equation have also been studied e.g., 9, 10 . The enduring interest in this equation is due partially to the number of applications it has found such as a current collection system for an electric locomotive, cell growth models, biology, economy, control, and electrodynamics e.g., 10–13 . The focus of most of the studies made in the complex plane e.g., 12, 14 was on solutions on the real line for either the retarded case 0 < q < 1 or the advanced case q > 1. In 1999, Qiu et al. 15 have studied the delay equation