251 citations · 320 across the 6 of their papers we have counts for
6 papers
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…
Generalized Elliptic Integrals and the Legendre M-function
V. Heikkala, H. Lindén, M. K. Vamanamurthy +1
We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwarz-Christoffel conformal mapping fr…
Generalized elliptic integrals
Ville Heikkala, Mavina K. Vamanamurthy, Matti Vuorinen
Jacobi's elliptic integrals and elliptic functions arise naturally from the Schwarz-Christoffel conformal transformation of the upper half plane onto a rectangle. In this paper we…