Geodesic
Distortion theorems for circumferentially mean $p$-valent functions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 43-56

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By symmetrization approach some distortion theorems for circumferentially mean $p$-valent functions are proved. We consider functions with a zero of order $p$ at the origin, functions without zeros and functions with Montel's normalization. All equality cases in the obtained estimates are established. 
@article{ZNSL_2015_440_a3,
     author = {V. N. Dubinin},
     title = {Distortion theorems for circumferentially mean $p$-valent functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {43--56},
     publisher = {mathdoc},
     volume = {440},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a3/}
}
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V. N. Dubinin. Distortion theorems for circumferentially mean $p$-valent functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 43-56. http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a3/