Geodesic
Symmetrization of Condensers and Inequalities for Functions Multivalent in a Disk
Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 846-856

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Using the circular symmetrization of sets and condensers on Riemann surfaces, we establish new inequalities for multivalent functions with conditions on the critical values of the functions or on the coverings of concentric circles. Two-point distortion theorems, an inequality for the initial coefficients, and a lower bound for the modulus of functions (of diverse classes) $p$-valent in a disk are proved.
Keywords: circular symmetrization, symmetrization of condensers, multivalent function, two-point distortion theorem, Riemann surface, holomorphic (meromorphic) function. 
@article{MZM_2013_94_6_a4,
     author = {V. N. Dubinin},
     title = {Symmetrization of {Condensers} and {Inequalities} for {Functions} {Multivalent} in a {Disk}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {846--856},
     publisher = {mathdoc},
     volume = {94},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a4/}
}
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V. N. Dubinin. Symmetrization of Condensers and Inequalities for Functions Multivalent in a Disk. Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 846-856. http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a4/