In this paper, Schwarz-type lemmas for different classes of quaternion functions are obtained. Firstly, some properties of symmetric points are given. Secondly, the Schwarz-type lemma and the Schwarz-Pick-type theorem for quaternion regular functions are obtained. Finally, the Schwarz-type lemma for quaternion $k$-regular functions is derived.
Xiaotong LIANG
,
Xiaojing DU
,
Yonghong XIE*
. SCHWARZ TYPE LEMMAS FOR QUATERNION $k$-REGULAR FUNCTIONS[J]. Acta mathematica scientia, Series B, 2026
, 46(1)
: 131
-144
.
DOI: 10.1007/s10473-026-0109-2
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