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math.CA2007★ 251 cited
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…
math.CA2007★ 3 cited
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…