Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation

We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = 0 with polynomial coefficients, and that a summing operator for L exists (such an operator can be found

• Type: Conference
• Year: 2007
• Where: CASC
• Authors: Sergei A. Abramov, Marko Petkovsek
• Keywords: Accurate Summation Algorithm, CASC 2007, Linear Difference Equation, Mathematics, Summation