V. R. Srinivasan

activity

20082026

most citedIntegration in Finite Terms: Dilogarithmic Integrals

2 citations · 3 across the 13 of their papers we have counts for

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7 papers · 1 filter

math.CA2025

A note on internality of certain differential systems

Partha Kumbhakar, Varadharaj Ravi Srinivasan

We prove two results, generalizing certain theorems by Jin and Moosa, on the internality of the system of differential equations \begin{equation*} \begin{aligned} x' &= f(x)\\ y' &…

math.CA2023

Liouville's Theorem on integration in finite terms for $D_{\infty},$ $SL_{2}$ and Weierstrass field extensions

Partha Kumbhakar, Varadharaj R. Srinivasan

Let $k$ be a differential field of characteristic zero and the field of constants $C$ of $k$ be an algebraically closed field. Let $E$ be a differential field extension of $k$ havi…

math.CA2015

Liouvillian Solutions of First Order Non Linear Differential Equations

Varadharaj Ravi Srinivasan

Let $k$ be a differential field of characteristic zero and $E$ be a liouvillian extension of $k$ . For any differential subfield $K$ intermediate to $E$ and $k$ , we prove that there…

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…

math.CA2010

Iterated Antiderivative Extensions