TY - JOUR
T1 - On some geometric properties of slice regular functions of a quaternion variable
AU - Gal, Sorin G.
AU - Oscar González-Cervantes, J.
AU - Sabadini, Irene
N1 - Publisher Copyright:
© 2015 Taylor & Francis.
PY - 2015/10/3
Y1 - 2015/10/3
N2 - Purpose of this paper is to study some geometric properties of functions of a quaternion variable slice regular in the unit ball-like subordination, starlikeness, convexity and spirallikeness. In this framework, we prove some results, among which is the Rogosinski inequality. Moreover, we show some geometric and algebraic interpretations of our results in terms of maps from (Formula presented.) to itself. As a tool for subordination, we define a suitable notion of composition of slice regular functions which is of independent interest.
AB - Purpose of this paper is to study some geometric properties of functions of a quaternion variable slice regular in the unit ball-like subordination, starlikeness, convexity and spirallikeness. In this framework, we prove some results, among which is the Rogosinski inequality. Moreover, we show some geometric and algebraic interpretations of our results in terms of maps from (Formula presented.) to itself. As a tool for subordination, we define a suitable notion of composition of slice regular functions which is of independent interest.
KW - convex function
KW - quaternion
KW - slice regular functions
KW - spirallike function
KW - starlike function
KW - subordination
UR - http://www.scopus.com/inward/record.url?scp=84938744199&partnerID=8YFLogxK
U2 - 10.1080/17476933.2015.1024670
DO - 10.1080/17476933.2015.1024670
M3 - Artículo
SN - 1747-6933
VL - 60
SP - 1431
EP - 1455
JO - Complex Variables and Elliptic Equations
JF - Complex Variables and Elliptic Equations
IS - 10
ER -