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Meromorphic solutions of q-shift difference equations

Kai Liu, Xiao-Guang Qi (2011)

Annales Polonici Mathematici

We establish a q-shift difference analogue of the logarithmic derivative lemma. We also investigate the value distributions of q-shift difference polynomials and the growth of solutions of complex q-shift difference equations.

Minkowski sums of Cantor-type sets

Kazimierz Nikodem, Zsolt Páles (2010)

Colloquium Mathematicae

The classical Steinhaus theorem on the Minkowski sum of the Cantor set is generalized to a large class of fractals determined by Hutchinson-type operators. Numerous examples illustrating the results obtained and an application to t-convex functions are presented.

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