Criteria of univalence and fully –accessibility for p–harmonic and p–analytic functions. Issue 8 (3rd August 2017)

• Record Type: Journal Article
• Authors: Amozova, K. F.; Ganenkova, E. G.; Ponnusamy, S.
• Is Part Of: Complex variables and elliptic equations. Volume 62:Issue 8(2017)
• Page Start: 1165
• Page End: 1183
• Publication Date: 2017-08-03
• Subjects: Univalence -- p-harmonic -- p-analytic function -- fully -accessible function -- -accessible domain -- starlike domain and Elliptic PDE; Primary: 31A05 -- 31A30 -- 31C05 -- 30C45 -- 52A30 -- Secondary: 30C20; Functions of complex variables -- Periodicals; Differential equations, Elliptic -- Periodicals; 515.905
• DOI: 10.1080/17476933.2016.1273908
• Languages: English
• ISSNs: 1747-6933

Abstract

Abstract: In this article, we present univalence criteria for polyharmonic and polyanalytic functions. Our approach yields a new criterion for a polyharmonic functions to be fully -accessible. Several examples are presented to illustrate the use of these criteria.