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math.CA2011
Linear differential equations and Hurwitz series
William F. Keigher, V. Ravi Srinivasan
In this article, we study the set of all solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equat…
math.CA2011
Picard-Vessiot Extensions For Unipotent Algebraic Groups
V. Ravi Srinivasan
Let F be a differential field of characteristic zero. In this article, we construct Picard-Vessiot extensions of F whose differential Galois group is isomorphic to the full unipote…