Geodesic
Families of elliptic functions and uniformization of complex tori with a unique point over infinity
Problemy analiza, Tome 7 (2018) no. 2, pp. 98-111.

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We investigate the problem of describing a one-parametric family of elliptic functions which uniformizes a given family of ramified coverings of the Riemann sphere with maximal possible ramification over infinity. We find a PDE for the family of functions and use it to deduce a system of ODEs for their critical points.
Keywords: Riemann surface, complex torus, elliptic function, uniformization. 
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S. R. Nasyrov. Families of elliptic functions and uniformization of complex tori with a unique point over infinity. Problemy analiza, Tome 7 (2018) no. 2, pp. 98-111. http://geodesic.mathdoc.fr/item/PA_2018_7_2_a6/

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