Baleanu, DumitruIbrahim, Rabha W.2022-04-142025-09-182022-04-142025-09-182020Ibrahim, Rabha W.; Baleanu, Dumitru (2020). "Entire solutions of a class of algebraic Briot-Bouquet differential equations utilizing majority concept", Advances in Difference Equations, Vol. 2020, No. 1.1687-1847https://doi.org/10.1186/s13662-020-03138-2https://hdl.handle.net/20.500.12416/12572Ibrahim, Rabha W./0000-0001-9341-025XIn 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.eninfo:eu-repo/semantics/openAccessAnalytic FunctionSubordinationUnivalent FunctionOpen Unit DiskAlgebraic Differential EquationsMajorization MethodArticle10.1186/s13662-020-03138-22-s2.0-85096986052