Rational Functions with Two Critical Points of Maximum Multiplicity
Gespeichert in:
Verfasser / Beitragende:
[D. Oganesyan]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 209/2(2015-08-01), 292-308
Format:
Artikel (online)
Online Zugang:
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2504-4 |2 doi |
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| 100 | 1 | |a Oganesyan |D D. |u Lomonosov Moscow State University, Moscow, Russia |4 aut | |
| 245 | 1 | 0 | |a Rational Functions with Two Critical Points of Maximum Multiplicity |h [Elektronische Daten] |c [D. Oganesyan] |
| 520 | 3 | |a In this paper, we consider the functions on algebraic curves whose divisors have the form nA−nC. Combinatorial-topological and algebraic descriptions are introduced for exploring such functions. All Belyi functions with such divisors are described. The case of curves of genus 1 is considered in more detail. The number of Belyi functions with divisor nA − nC is explicitly calculated. For general functions of this type on a curve of genus 1, we consider the space of the parameters and a method of its calculation that uses the Padé approximation. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/2(2015-08-01), 292-308 |x 1072-3374 |q 209:2<292 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2504-4 |q text/html |z Onlinezugriff via DOI |
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| 908 | |D 1 |a research-article |2 jats | ||
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| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2504-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Oganesyan |D D. |u Lomonosov Moscow State University, Moscow, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/2(2015-08-01), 292-308 |x 1072-3374 |q 209:2<292 |1 2015 |2 209 |o 10958 | ||