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On exterior moduli of quadrilaterals and special functions · Around

2011

On exterior moduli of quadrilaterals and special functions

Vuorinen, Matti, Zhang, Xiaohui

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In this paper two identities involving a function defined by the complete elliptic integrals of the first and second kinds are proved.

Some functional inequalities and elementary estimates for this function are also derived from the properties of monotonicity and convexity of this function.
As applications, some functional inequalities and the growth of the exterior modulus of a rectangle are studied.

Built on

F. Bowman
1961
Earlier work this paper cites.
P. F. Byrd and M. D. Friedman
1971
Earlier work this paper cites.
O. Lehto and K. I. Virtanen
1973
Earlier work this paper cites.
P. Duren and J. Pfaltzgraff
1993
Earlier work this paper cites.
G. D. Anderson, P. Duren, and M. K. Vamanamurthy
1994
Earlier work this paper cites.
G. D. Anderson, M. K. Vamanamurthy, and M. Vuorinen
1997
Earlier work this paper cites.

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