# On some $q$-versions of Ramanujan master theorem

## TL;DR

This paper introduces $q$-analogues of Ramanujan's Master Theorem and applies them to evaluate Jackson's $q$-integrals involving $q$-special functions.

## Contribution

It presents new $q$-versions of Ramanujan's Master Theorem and demonstrates their use in computing specific $q$-integrals.

## Key findings

- Derived several $q$-analogues of Ramanujan's Master Theorem.
- Computed explicit values of Jackson's $q$-integrals with $q$-special functions.
- Extended the applicability of Ramanujan's theorem to $q$-calculus.

## Abstract

In this paper, we state some $q$-analogues of the famous Ramanujan's Master Theorem. As applications, some values of Jackson's $q$-integrals involving $q$-special functions are computed.