On formal power series as integrals of algebraic differential equations

Kurt Mahler

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1971)

  • Volume: 50, Issue: 2, page 76-89
  • ISSN: 0392-7881

How to cite

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Mahler, Kurt. "On formal power series as integrals of algebraic differential equations." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 50.2 (1971): 76-89. <http://eudml.org/doc/296253>.

@article{Mahler1971,
author = {Mahler, Kurt},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {76-89},
publisher = {Accademia Nazionale dei Lincei},
title = {On formal power series as integrals of algebraic differential equations},
url = {http://eudml.org/doc/296253},
volume = {50},
year = {1971},
}

TY - JOUR
AU - Mahler, Kurt
TI - On formal power series as integrals of algebraic differential equations
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1971/2//
PB - Accademia Nazionale dei Lincei
VL - 50
IS - 2
SP - 76
EP - 89
LA - eng
UR - http://eudml.org/doc/296253
ER -

References

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  1. HURWITZ, A. (1889) - Sur le développement des fonctions satisfaisant à une équation differentielle algébrique, «Ann. de l'École Norm.», (3), 6, 327-332; Werke, Bd. 2, 295-298. MR1508828
  2. KAKEYA, S. (1915) - On a power series with rational coefficients satisfying an algebraic differential equation, Science Reports Tôhoku Imp. University. 4, 7-20. Zbl45.1335.02
  3. POPKEN, J. (1935) - Über arithmetische Eigenschaften analytischer Funktionen, Amsterdam, N. V. Noord-Hollandsche Uitgeversmaatschappij. Zbl61.1136.01

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