The adjacent sides of hyperbolic Lambert quadrilaterals
classification
🧮 math.MG
keywords
hyperbolicadjacentlambertquadrilateralssidesboundsconvexitydisk
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We prove sharp bounds for the product and the sum of the hyperbolic lengths of a pair of hyperbolic adjacent sides of hyperbolic Lambert quadrilaterals in the unit disk. We also show the H\"older convexity of the inverse hyperbolic sine function involved in the hyperbolic geometry.
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