An extension of Briot–Bouquet differential subordinations with an application to Alexander integral transforms

DOI10.1080/17476933.2015.1064403zbMath1336.30038OpenAlexW2241656926MaRDI QIDQ3466937

Sanford S. Miller, José A. Antonino

Publication date: 25 January 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1064403

zbMATH Keywords

convex functionBriot-Bouquet differential subordinationspiral-like function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80)

Related Items

Boundedness of analytic functions in the unit disc using the theory of differential subordination

Cites Work

• The Alexander transform of a spirallike function
• Differential subordinations and univalent functions
• Some subordination properties for spirallike functions