Department of Mathematics Calendar
Erdal Imamoglu, NC State, Algorithms for Solving Linear Differential Equations with Rational Function Coefficients
- This event has passed.
We present two algorithms for computing hypergeometric solutions of a second order linear differential equation with rational function coefficients. Our first algorithm uses quotients of formal solutions, modular reduction, Hensel lifting, and rational reconstruction. Our second algorithm first tries to simplify the input differential equation using integral bases and then uses quotients of formal solutions.