Duality relations for hypergeometric series

作者:Beukers Frits*; Jouhet Frederic
来源:Bulletin of the London Mathematical Society, 2015, 47(2): 343-358.
DOI:10.1112/blms/bdv009

摘要

We explicitly give the relations between the hypergeometric solutions of the general hypergeometric equation and their duals, as well as similar relations for q-hypergeometric equations. They form a family of very general identities for hypergeometric series. Although they were foreseen already by Bailey in the 1930s on analytic grounds, we give a purely algebraic treatment based on general principles in general differential and difference modules.

  • 出版日期2015-4