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|Title=Constructible differentially finite algebraic series in several variables
|Title=Constructible differentially finite algebraic series in several variables
|Year=1995
|Year=1995
|Month=June
|Month=Juni
|Journal=Theoretical Computer Science
|Journal=Theoretical Computer Science
|Note=
|Note=
Zeile 18: Zeile 18:
}}
}}
{{Publikation Details
{{Publikation Details
|Abstract=We extend the concept of CDF-series to the context of several variables, and
|Abstract=We extend the concept of CDF-series to the context of several variables, and show that the series solution of first order differential equations y=x(t,y) and functional equations y=x(t,y), with x CDF in two variables, are CDF-series. We also give many effective closure properties for CDF-series in several variables.
show that the series solution of first order differential equations y=x(t,y) and
functional equations y=x(t,y), with x CDF in two variables, are CDF-series. We
also give many effective closure properties for CDF-series in several variables.
 
|ISBN=
|ISBN=
|ISSN=
|ISSN=
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   year = {1995},
   year = {1995},
}
}
}}
}}

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Constructible differentially finite algebraic series in several variables

François BergeronFrançois Bergeron,  Ulrike SattlerUlrike Sattler
Constructible differentially finite algebraic series in several variables


François Bergeron, Ulrike Sattler
Constructible differentially finite algebraic series in several variables
Theoretical Computer Science, 144(1-2):59-66, June 1995
  • KurzfassungAbstract
    We extend the concept of CDF-series to the context of several variables, and show that the series solution of first order differential equations y=x(t,y) and functional equations y=x(t,y), with x CDF in two variables, are CDF-series. We also give many effective closure properties for CDF-series in several variables.
  • Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
@article{ BeSa95,
  author = {Fran{\c{c}}ois {Bergeron} and Ulrike {Sattler}},
  journal = {Theoretical Computer Science},
  month = {June},
  number = {1-2},
  pages = {59--66},
  title = {Constructible differentially finite algebraic series in several variables},
  volume = {144},
  year = {1995},
}