The two types of calculus within quantum calculus are q-calculus and h-calculus.
Notes on verification
Multiple independent academic sources including the authoritative textbook by Kac and Cheung (Springer) explicitly confirm q-calculus and h-calculus as the two fundamental types of quantum calculus. Corroboration from peer-reviewed papers in Project Euclid and arXiv strengthens this verification. While extensions exist, the core categorization is well-established in mathematical literature.
Sources
- Quantum calculus (wikipedia)