List questions from q-analogs

Published on 15 Feb 2024 - 16:31

33

Views

What is meant by "q-generalisation"?

Published on 09 Mar 2024 - 11:30

404

Views

Good article or book to q-analogs?

Published on 08 Feb 2015 - 20:20

118

Views

Formula for $q$-Analogue of Eulerian Polynomial

Published on 23 Feb 2026 - 4:55

375

Views

Barnes' double gamma function versus q-gamma function

Published on 23 Apr 2015 - 16:24

312

Views

The groupoid cardinality of $\mathbb{F}_q$-vector spaces $\sum_{n=0}^{\infty} \, \bigl(\prod_{i=0}^{n-1} q^n-q^i\bigr)^{-1}$

Published on 30 Sep 2015 - 9:46

102

Views

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 28 Feb 2026 - 3:01

429

Views

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

Published on 24 Mar 2026 - 2:29

164

Views

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

Published on 25 Apr 2016 - 15:30

78

Views

Closed formula involving $q$-binomials

Published on 21 Mar 2026 - 8:55

411

Views

$q$-digamma function evaluation

Published on 15 May 2016 - 17:23

133

Views

Combinatorial identity. Using echelon matrices.

Published on 25 Apr 2013 - 6:01

757

Views

What does the $q$-Catalan Numbers count?

Published on 24 Feb 2026 - 7:03

637

Views

Example of something easier to count with $q$-analog?

Published on 04 Jun 2013 - 21:15

996

Views

Intuition behind the Jacobi triple product

Published on 11 Sep 2013 - 23:24

List Question

$q$-derivative satisfying linear approximation characterization

What is meant by "q-generalisation"?

Good article or book to q-analogs?

Formula for $q$-Analogue of Eulerian Polynomial

Barnes' double gamma function versus q-gamma function

The groupoid cardinality of $\mathbb{F}_q$-vector spaces $\sum_{n=0}^{\infty} \, \bigl(\prod_{i=0}^{n-1} q^n-q^i\bigr)^{-1}$

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

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

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

Closed formula involving $q$-binomials

$q$-digamma function evaluation

Combinatorial identity. Using echelon matrices.

What does the $q$-Catalan Numbers count?

Example of something easier to count with $q$-analog?

Intuition behind the Jacobi triple product

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