251 citations · 285 across the 4 of their papers we have counts for
4 papers
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…
Topics in Special Functions
G. D. Anderson, M. K. Vamanamurthy, M. Vuorinen
The authors survey recent results in special functions, particularly the gamma function and the Gaussian hypergeometric function.
Generalized Convexity and Inequalities
G. D. Anderson, M. K. Vamanamurthy, M. Vuorinen
Let R+ = (0,infinity) and let M be the family of all mean values of two numbers in R+ (some examples are the arithmetic, geometric, and harmonic means). Given m1, m2 in M, we say t…
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…