Abstract
The aim of this paper is twofold. First, we investigate the properties of the composition of harmonic mappings with harmonic mappings, and the composition of biharmonic mappings with harmonic mappings. Second, we consider the Goodman-Saff conjecture for biharmonic mappings in the unit disk. In fact, we show that the answer to the Goodman-Saff conjecture is positive for a special class of univalently biharmonic mappings which contains the set of all harmonic univalent mappings.
Citation
Shaolin Chen. Saminathan Ponnusamy. Xiantao Wang. "Compositions of harmonic mappings and biharmonic mappings." Bull. Belg. Math. Soc. Simon Stevin 17 (4) 693 - 704, november 2010. https://doi.org/10.36045/bbms/1290608195
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