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Entire Solutions of a Class of Algebraic Briot-Bouquet Differential Equations Utilizing Majority Concept

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Date

2020

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Springer

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GOLD

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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.

Description

Ibrahim, Rabha W./0000-0001-9341-025X

Keywords

Analytic Function, Subordination, Univalent Function, Open Unit Disk, Algebraic Differential Equations, Majorization Method, Analytic function, Open unit disk, Algebraic differential equations, QA1-939, Subordination, Univalent function, Majorization method, Mathematics, General theory of univalent and multivalent functions of one complex variable, subordination, univalent function, analytic function, Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), majorization method, open unit disk, algebraic differential equations

Fields of Science

0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Citation

Ibrahim, 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.

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Advances in Difference Equations

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2020

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1

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Scopus : 2

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2

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