Generalized q-difference equation of the generalized q-operator rΦs(θ) and its application in q-integrals

Abstract

In this paper, we employ the q-difference equation technique to generalize some well-known q-integrals such as the extension of Askey–Roy q-integral, Andrews–Askey q-integral, and Askey–Wilson q-integral.

Keywords

• Andrews–Askey q-integral
• Askey–Roy q-integral
• Askey–Wilson q-integral
• q-difference equation