Quantum Calculus (Paperback)

From the contents: q-derivative and h-derivative - Generalized Taylor's formula for polynomials - q-analogue of (x-a)n, n an integer, and q-derivatives of binomials - q-Taylor's formula for polynomials - Gauss' binomial formula and a non-commutative bi- nomial formula - Properties of q-binomial coefficients - q-bino- mial coefficients and linear algebra over finite fields - q-Tay- lor's formula for formal power series and Heine's binomial formula - Two Euler identities and two q-exponential functions - q-trigonometric functions - Jacobi's triple product identity - Classical partition function and Euler's product formula - q-hypergeometric functions and Heine's formula