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On products of starlike functions. I

Georgi Dimkov (1991)

Annales Polonici Mathematici

We deal with functions given by the formula F ( z ) = z G ' ( z ) = z j = 1 n ( f j ( z ) / z ) a j where f j ( z ) are starlike of order α j and a j are complex constants. In particular, radii of starlikeness and convexity as well as orders of starlikeness and convexity are found.

On pseudospheres that are quasispheres.

John L. Lewis, Andrew Vogel (2001)

Revista Matemática Iberoamericana

We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, Rn, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of Rn and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.

On Q -homeomorphisms.

Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)

Annales Academiae Scientiarum Fennicae. Mathematica

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