Effective $p$adic bounds for solutions of homogeneous linear differential equations
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 by B. Dwork and P. Robba PDF
 Trans. Amer. Math. Soc. 259 (1980), 559577 Request permission
Abstract:
We consider a finite set of power series in one variable with coefficients in a field of characteristic zero having a chosen nonarchimedean valuation. We study the growth of these series near the boundary of their common â€śopenâ€ť disk of convergence. Our results are definitive when the wronskian is bounded. The main application involves local solutions of ordinary linear differential equations with analytic coefficients. The effective determination of the common radius of convergence remains open (and is not treated here).References

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Additional Information
 © Copyright 1980 American Mathematical Society
 Journal: Trans. Amer. Math. Soc. 259 (1980), 559577
 MSC: Primary 12B40; Secondary 14G20
 DOI: https://doi.org/10.1090/S00029947198005670971
 MathSciNet review: 567097