A generalization of the q-Pfaff-Saalschütz formula
Key Points
The study presents a generalization of the q-pfaff-saalschütz formula, enhancing its applicability.
Using the Leibniz rule and q-Chu-Vandermonde formula, key transformations are derived, indicating broader use in advanced mathematics.
This analysis employs the q-difference operator, facilitating new perspectives on q-series and related mathematical constructs.
Significantly, these findings could deepen understanding of q-series dynamics, calling for further exploration in mathematical theory.
Abstract
We use the Andrews-Askey integral, the Leibniz rule for q-difference operator and the q-Chu-Vandermonde formula to give a generalization of the q-pfaff-saalsch\"utz formula.