251 citations · 295 across the 7 of their papers we have counts for
4 papers · 1 filter
Reflections on Ramanujan's Mathematical Gems
G. D. Anderson, M. Vuorinen
The authors provide a survey of certain aspects of their joint work with the late M. K. Vamanamurthy. Most of the results are simple to state and deal with special functions, a top…
Twice-punctured hyperbolic sphere with a conical singularity and generalized elliptic integral
G. D. Anderson, T. Sugawa, M. K. Vamanamurthy +1
We describe, in terms of generalized elliptic integrals, the hyperbolic metric of the twice-punctured sphere with one conical singularity of prescribed order. We also give several…
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…
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…