A q-Clausen-Orr type formula and its applications
Abstract
We show that certain terminating 6φ5 series can be factorized into a product of two 3φ2 series. As applications we prove a summation formula for a product of two q-Delannoy numbers along with some congruences for sums involving q-Delannoy numbers. This confirms three recent conjectures of the second author.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.