TY - JOUR
T1 - Univalence results for slice regular functions of a quaternion variable
AU - Gal, Sorin G.
AU - González-Cervantes, J. Oscar
AU - Sabadini, Irene
N1 - Publisher Copyright:
© 2015 Taylor & Francis.
PY - 2015/10/3
Y1 - 2015/10/3
N2 - The goal of this paper is study the univalence property of slice regular functions of quaternion variable. We prove a number of results, among which several sufficient conditions for univalence, an area-type Theorem, and a Bieberbach–de Branges Theorem for a subclass of slice regular functions. We also discuss some geometric and algebraic interpretations of our results in terms of maps from (Formula presented.) to itself.
AB - The goal of this paper is study the univalence property of slice regular functions of quaternion variable. We prove a number of results, among which several sufficient conditions for univalence, an area-type Theorem, and a Bieberbach–de Branges Theorem for a subclass of slice regular functions. We also discuss some geometric and algebraic interpretations of our results in terms of maps from (Formula presented.) to itself.
KW - quaternion
KW - slice regular functions
KW - univalent functions
UR - http://www.scopus.com/inward/record.url?scp=84938751403&partnerID=8YFLogxK
U2 - 10.1080/17476933.2015.1015530
DO - 10.1080/17476933.2015.1015530
M3 - Artículo
SN - 1747-6933
VL - 60
SP - 1346
EP - 1365
JO - Complex Variables and Elliptic Equations
JF - Complex Variables and Elliptic Equations
IS - 10
ER -