Entire solutions of a class of algebraic Briot-Bouquet differential equations utilizing majority concept

Abstract

In this effort, the analytic solution of a class of algebraic Briot-Bouquet differential equations (ABBDE) in the open unit disk is investigated by making use of a major theory. The class is presented by the formula alpha(1)phi ' 3(z)+alpha(2)phi'(z)phi(z)+alpha(3)phi '(z)phi(2)(z)+aleph(k)(phi)(z)=0, aleph(k)(phi)(z):=a(k)phi(k)(z)+a(k-1)phi(k-1)(z)+...+a(1) phi(z)+a(0). The conformal analysis (angle-preserving) of the ABBDEs is considered. Analytic outcomes of the ABBDEs are indicated by employing the major method. Some special cases are investigated.