42 citations · 107 across the 12 of their papers we have counts for
4 papers · 1 filter
Inequalities for the generalized trigonometric and hyperbolic functions
Riku Klén, Matti Vuorinen, Xiaohui Zhang
The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional Laplacian. The generalized hyperbolic functions are defined s…
Topics in special functions III
Glen D. Anderson, Matti Vuorinen, Xiaohui Zhang
The authors survey recent results in special functions of classical analysis and geometric function theory, in particular the circular and hyperbolic functions, the gamma function,…
Volume growth of quasihyperbolic balls
Xiaohui Zhang, Riku Klén, Ville Suomala +1
The purpose of this paper is to study the notion of the quasihyperbolic volume and to find growth estimates for the quasihyperbolic volume of balls in a domain $G \subset {\mathbb…
Distortion of quasiconformal mappings with identity boundary values
Matti Vuorinen, Xiaohui Zhang
Teichmüller's classical mapping problem for plane domains concerns finding a lower bound for the maximal dilatation of a quasiconformal homeomorphism which holds the boundary point…