A new analytic solution of complex Langevin differential equations. Issue 1 (2nd November 2021)

• Record Type: Journal Article
• Authors: Ibrahim, Rabha W.
• Is Part Of: Arab journal of mathematical sciences. Volume 29:Issue 1(2023)
• Page Start: 83
• Page End: 99
• Publication Date: 2021-11-02
• Subjects: Subordination and superordination -- Analytic function -- Univalent function -- Open unit disk -- Majorization; 30C55 -- 30C45
• DOI: 10.1108/AJMS-04-2021-0085
• Languages: English
• ISSNs: 1319-5166

Abstract

Abstract : Purpose: In this study, the authors introduce a solvability of special type of Langevin differential equations (LDEs) in virtue of geometric function theory. The analytic solutions of the LDEs are considered by utilizing the Caratheodory functions joining the subordination concept. A class of Caratheodory functions involving special functions gives the upper bound solution. Design/methodology/approach: The methodology is based on the geometric function theory. Findings: The authors present a new analytic function for a class of complex LDEs. Originality/value: The authors introduced a new class of complex differential equation, presented a new technique to indicate the analytic solution and used some special functions.