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Properties of New Holomorphic Mappings with Respect to Conic Domains
- Source :
- Acta Mathematica Sinica, English Series. 37:971-991
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- This paper is mainly about holomorphic mappings associated with conic regions which are closely connected with k − ST(α). We introduce new subclasses of starlike (spirallike) functions, namely, S (k,α)(S (k,α,β)), and discuss their coefficient estimates and the Fekete-Szego-Goluzin’s problem. Then we generalize S (k,α,β) on the unit ball Bn in ℂn, that is, k-conic spirallike mappings of type β and order α. We obtain the growth, covering and distortion theorems of the generalized mappings. Besides that, we construct k-conic spirallike mappings of type β and order α on Bn through Sc(k,α,β) by the generalized Roper-Suffridge extension operators.
- Subjects :
- Unit sphere
Pure mathematics
Applied Mathematics
General Mathematics
010102 general mathematics
Holomorphic function
Extension (predicate logic)
Type (model theory)
01 natural sciences
010101 applied mathematics
Distortion (mathematics)
Conic section
Order (group theory)
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 14397617 and 14398516
- Volume :
- 37
- Database :
- OpenAIRE
- Journal :
- Acta Mathematica Sinica, English Series
- Accession number :
- edsair.doi...........f7f2e6e4bfc574584b08b9428d5876de