Geodesic
Taylor power series of algebraic functions over fields of positive characteristics
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 235-256.

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In this work we show algorithmical solvability for the problem of calculation of the Taylor power series for an algebraic function over a field of positive characteristics. An efficient algorithm for construction of a finite automaton solving this problem is given. 
@article{FPM_2001_7_1_a12,
     author = {A. A. Chilikov},
     title = {Taylor power series of algebraic functions over fields of positive characteristics},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {235--256},
     publisher = {mathdoc},
     volume = {7},
     number = {1},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a12/}
}
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A. A. Chilikov. Taylor power series of algebraic functions over fields of positive characteristics. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 1, pp. 235-256. http://geodesic.mathdoc.fr/item/FPM_2001_7_1_a12/