Univalent Logharmonic Mappings in the Plane | Zendy

Zayid Abdulhadi | Zendy; Rosihan M. Ali | Zendy

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Univalent Logharmonic Mappings in the Plane

Author(s) -

Zayid Abdulhadi,

Rosihan M. Ali

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/721943

Subject(s) - mathematics , automorphism , annulus (botany) , domain (mathematical analysis) , unit disk , unit (ring theory) , pure mathematics , univalent function , plane (geometry) , ring (chemistry) , mathematical analysis , geometry , analytic function , chemistry , botany , mathematics education , organic chemistry , biology

This paper surveys recent advances on univalent logharmonic mappings defined on a simply or multiply connected domain. Topics discussed include mapping theorems, logharmonic automorphisms, univalent logharmonic extensions onto the unit disc or the annulus, univalent logharmonic exterior mappings, and univalent logharmonic ring mappings. Logharmonic polynomials are also discussed, along with several important subclasses of logharmonic mappings

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