2 citations · 2 across the 8 of their papers we have counts for
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math.MG2019
On cyclic quadrilaterals in euclidean and hyperbolic geometries
Gendi Wang, Matti Vuorinen, Xiaohui Zhang
Four points ordered in the positive order on the unit circle determine the vertices of a quadrilateral, which is considered either as a euclidean or as a hyperbolic quadrilateral d…
math.CA2019
Shafer-Fink type inequalities for arc lemniscate functions
Minjie Wei, Yue He, Gendi Wang
In this paper, we investigate the monotonicity and inequalities for some functions involving the arc lemniscate and the hyperbolic arc lemniscate functions. In particular, sharp Sh…
math.CV2019
Remarks on the scale invariant Cassinian metric
Gendi Wang, Xiaoxue Xu, Matti Vuorinen
We study the geometry of the scale invariant Cassinian metric and prove sharp comparison inequalities between this metric and the hyperbolic metric in the case when the domain is e…