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math.CV2008★ 1 cited
Hypergeometric functions and hyperbolic metric
G. D. Anderson, T. Sugawa, M. K. Vamanamurthy +1
We obtain new inequalities for certain hypergeometric functions. Using these inequalities, we deduce estimates for the hyperbolic metric and the induced distance function on a cert…
math.CV2007★ 9 cited
Modular Equations and Distortion Functions
G. D. Anderson, S. -L. Qiu, M. Vuorinen
Modular equations occur in number theory, but it is less known that such equations also occur in the study of deformation properties of quasiconformal mappings. The authors study t…