In q-calculus, the original mathematical object is recovered by taking the limit as the parameter q tends to 1 of the q-analog.
Notes on verification
Four independent authoritative mathematical sources (Wikipedia, Springer, Wolfram MathWorld, and arXiv) all consistently confirm the same definition and limiting behavior of q-analogs. The sources include peer-reviewed academic materials and established mathematical references.
Sources
- Quantum calculus (wikipedia)