Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Slice starlike functions over quaternions   In this paper, we initiate the study of the geometric function theory for
slice starlike functions over quaternions and its subclasses. This allows us to
answer negatively some questions about the Bieberbach conjecture, the growth,
distortion, and covering theorems for slice regular functions. Precisely, we
find that the Bieberbach conjecture holds true for slice starlike functions in
contrast to the fact that the Bieberbach conjecture fails for biholomorphic
starlike mappings in higher dimensions. We also establish some sharp versions
of the growth, distortion, and covering theorems for quaternions.

16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn