251 citations · 295 across the 7 of their papers we have counts for
7 papers
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,…
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…
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…