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Research Article

ScienceAsia 16 (1990): 153-166 |doi: 10.2306/scienceasia1513-1874.1990.16.153

 

POWER SERIES OF EISENSTEIN-HURWITZ-CARLITZ TYPE

 

VICHIAN LAOHAKOSOL

ABSTRACT: A class of formal power series generalizing Hurwitz series and series satisfying the Eisenstein condition are considered. This class contains a subclass of power series satisfying linear differential equations with polynomial coefficients not having 0 as one of their singularities. Basic algebraic properties are investigatec4 especially an Eisenstein-like criterion is established.

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Department of Mathematics, Kasetsart University, Bangkok 10900, Thailand.

Received 20 August 1990