Geodesic
The moduli of certain families of curves and the range of $f(\zeta_0)$ in the class of univalent functions with real coefficients
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 156-167

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By simultaneously considering two moduli problems for pairs of homotopic classes of curves a complete solution is obtained of the problem of the range of functions of the class $S_R$, where $S_R$ is the class of functions in $S$ with real coefficients, at a fixed point $\zeta_0$ of the disk $|\zeta|1$, and $\min|f(\zeta_0)|$ in the class $S_R$ is also found. Partial results in this problem were obtained earlier by J. Jenkins and V. V. Chernikov. 
@article{ZNSL_1984_139_a11,
     author = {S. I. Fedorov},
     title = {The moduli of certain families of curves and the range of $f(\zeta_0)$ in the class of univalent functions with real coefficients},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {156--167},
     publisher = {mathdoc},
     volume = {139},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a11/}
}
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S. I. Fedorov. The moduli of certain families of curves and the range of $f(\zeta_0)$ in the class of univalent functions with real coefficients. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part VII, Tome 139 (1984), pp. 156-167. http://geodesic.mathdoc.fr/item/ZNSL_1984_139_a11/