Geodesic
Differential inequalities in linear- and affine-invariant families of harmonic mappings
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 69-72

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At the linear- and affine-invariant families of harmonic mappings of the unit disk some differential inequalities such as sharp estimation of the Jacobian and estimation of curvature of the image of the circle are proved.
Keywords: harmonic mappings, linear- and affine-invariant families functions, order of family. 
@article{IVM_2010_10_a6,
     author = {S. Yu. Graf and O. R. Eyelangoli},
     title = {Differential inequalities in linear- and affine-invariant families of harmonic mappings},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {69--72},
     publisher = {mathdoc},
     number = {10},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_10_a6/}
}
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S. Yu. Graf; O. R. Eyelangoli. Differential inequalities in linear- and affine-invariant families of harmonic mappings. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2010), pp. 69-72. http://geodesic.mathdoc.fr/item/IVM_2010_10_a6/