List questions from q-analogs | MathQa

How to prove that $\sum_{i=0}^n\frac{(a;q)_i}{(q;q)_i}\frac{(b;q)_{n-i}}{(q;q)_{n-i}}a^{n-i}=\frac{(ab;q)_n}{(q;q)_n}$?

Published on 13 Jan 2025 - 2:22

How to prove ${}_2\phi_1(q^{-n},b;c;q,q)=\frac{(c/b;q)_n}{(c;q)_n}b^n.$

Published on 12 Jan 2025 - 20:47

An identity for $q-$Fibonacci numbers if $q$ is a root of unity.

Published on 12 Jan 2025 - 20:51

Closed formula involving $q$-binomials

Published on 12 Jan 2025 - 20:37

$q$-digamma function evaluation

Published on 12 Jan 2025 - 18:24

Gaussian binomial coefficients, lattice paths, and vector spaces

Published on 12 Jan 2025 - 20:52

Studying quantized algebras, why introduce $q^{1/2}$ instead of just $q$?

Published on 12 Jan 2025 - 23:20

Why is $q$ sometimes a complex number, but other times a prime power?

Published on 13 Jan 2025 - 2:13

An identity for generalized q-Fibonacci polynomials

Published on 12 Jan 2025 - 20:45

Area under a lattice path, from q-binomial to q-multinomial

Published on 12 Jan 2025 - 20:49