Qing-Hu Hou

Rational Solutions to the First Order Difference Equations in the Bivariate Difference Field

2024 · arXiv (Cornell University)

Inspired by Karr's algorithm, we consider the summations involving a sequence satisfying a recurrence of order two. The structure of such summations provides an algebraic framework for solving the difference equations of form $aσ(g)+bg=f$ in …