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Coefficients of differentially algebraic series

Part of: Series expansions

Published online by Cambridge University Press:  09 April 2009

Vichian Laohakosol ,
Kannika Kongsakorn  and
Patchara Ubolsri
Vichian Laohakosol
Affiliation:
Department of Mathematics Kasetsart UniversityBangkok 10900, Thailand
Kannika Kongsakorn
Affiliation:
Department of Mathematics Kasetsart UniversityBangkok 10900, Thailand
Patchara Ubolsri
Affiliation:
Department of Mathematics Kasetsart UniversityBangkok 10900, Thailand
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Abstract

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An Eisenstein-like criterion is proved for power series with algebraic coefficients satisfying algebraic differential equations of a certain general kind. The proof is elementary and the result extends earlier results of Hurwitz, Pólya and Popken

MSC classification

Secondary: 30B10: Power series (including lacunary series)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 3 , June 1990 , pp. 402 - 412
Copyright
Copyright © Australian Mathematical Society 1990

References

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