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Solving third order linear differential equations . . .
 ISSAC'07
, 2007
"... This paper presents a simplified version of a method by Michael Singer for reducing a third order linear ode to a second order linear ode whenever possible. An implementation is available as well. ..."
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Cited by 7 (3 self)
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This paper presents a simplified version of a method by Michael Singer for reducing a third order linear ode to a second order linear ode whenever possible. An implementation is available as well.
Reversible linear differential equations
, 805
"... Let ∇ be a meromorphic connection on a vector bundle over a compact Riemann surface Γ. An automorphism σ: Γ → Γ is called a symmetry of ∇ if the pullback bundle and the pullback connection can be identified with ∇. We study the symmetries by means of what we call the Fano Group; and, under the hyp ..."
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Let ∇ be a meromorphic connection on a vector bundle over a compact Riemann surface Γ. An automorphism σ: Γ → Γ is called a symmetry of ∇ if the pullback bundle and the pullback connection can be identified with ∇. We study the symmetries by means of what we call the Fano Group; and, under the hypothesis that ∇ has a unimodular reductive Galois group, we relate the differential Galois group, the Fano group and the symmetries by means of an exact sequence. 1
Closed Form Solutions for Linear Differential and Difference Equations, Project Description
, 2010
"... Many scientists use computer algebra systems to solve linear differential or difference equations. These programs check if an equation can be matched ..."
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Many scientists use computer algebra systems to solve linear differential or difference equations. These programs check if an equation can be matched
AF:Small: Solving Linear Differential Equations in terms of Special Functions, Project Description
, 2013
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AF:Small: Linear Differential Equations with a Convergent Integer Series Solution, Project Description
, 2013
"... The topic in the PI’s current grant 1 is: Given a linear homogeneous linear differential equation with polynomial coefficients, decide if it can be solved in terms of special functions, and if so, find such solutions. Much progress on his topic has been made by the PI and his graduate students (Sect ..."
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The topic in the PI’s current grant 1 is: Given a linear homogeneous linear differential equation with polynomial coefficients, decide if it can be solved in terms of special functions, and if so, find such solutions. Much progress on his topic has been made by the PI and his graduate students (Sections 2