On the Analytic Part of Univalent Harmonic Mappings

Author:

Kayumov Iigiz R.,Ponnusamy SaminthanORCID,Xuan Le Anh

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics

Reference21 articles.

1. Abu-Muhanna, Y., Lyzzaik, A.: The boundary behaviour of harmonic univalent maps. Pac. J. Math. 141(1), 1–20 (1990)

2. Aleman, A., Martin, M.J.: Convex harmonic mappings are not necessarily in $$h^{1/2}$$h1/2. Proc. Am. Math. Soc. 143(2), 755–763 (2015)

3. Avkhadiev, F.G., Wirths, K.-J.: Schwarz–Pick Type Inequalities, p. 156. Birkhäuser Verlag, Basel-Boston-Berlin (2009)

4. Cima, J.A., Livingston, A.E.: Integral smoothness properties of some harmonic mappings. Complex Var. Theory Appl. 11(2), 95–110 (1989)

5. Clunie, J.G., Sheil-Small, T.: Harmonic univalent functions. Ann. Acad. Sci. Fenn. Ser. AI 9, 3–25 (1984)

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