List questions from q-analogs

Published on 07 Aug 2019 - 20:02

128

Views

Coefficients of polynomial $f_n(q)=\prod_{k=1}^{n}(1+q^k)$

Published on 22 Aug 2019 - 0:52

518

Views

Why is the "q-Pochhammer Symbol" referred to as such, despite not being a q-analog of the Pochhammer symbol?

Published on 22 Aug 2019 - 13:11

684

Views

A question on a sum of $q$-binomial coefficients

Published on 25 Mar 2026 - 0:48

305

Views

Prove identity involving the Tsallis q-logarithm

Published on 22 May 2014 - 17:15

121

Views

Roots of derivative of q-expontial function

Published on 19 Jun 2014 - 11:49

222

Views

Infinite sum involving $q$-adic representations of whole numbers and $q$-factorial numbers

Published on 10 Jul 2014 - 23:21

417

Views

Gaussian binomial coefficients, lattice paths, and vector spaces

Published on 21 Mar 2026 - 21:56

51

Views

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

Published on 16 Mar 2026 - 16:55

87

Views

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

Published on 16 Mar 2026 - 21:32

59

Views

An identity for generalized q-Fibonacci polynomials

Published on 23 Mar 2026 - 1:30

301

Views

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

Published on 25 Feb 2026 - 14:15

255

Views

$q$-analogue of $\sum_{k=0}^n \, {n \choose k} = 2^n $

Published on 22 Mar 2026 - 16:26

207

Views

What are the asymptotics of the $q$-binomial?

Published on 13 May 2020 - 22:34

161

Views

Calculate $\sum_{ k = 1 } ^ n \ln ( 1 - x ^ k )$

Published on 22 Mar 2026 - 12:01

List Question

Curious closed forms of the $q$-Gamma function.

Coefficients of polynomial $f_n(q)=\prod_{k=1}^{n}(1+q^k)$

Why is the "q-Pochhammer Symbol" referred to as such, despite not being a q-analog of the Pochhammer symbol?

A question on a sum of $q$-binomial coefficients

Prove identity involving the Tsallis q-logarithm

Roots of derivative of q-expontial function

Infinite sum involving $q$-adic representations of whole numbers and $q$-factorial numbers

Gaussian binomial coefficients, lattice paths, and vector spaces

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

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

An identity for generalized q-Fibonacci polynomials

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

$q$-analogue of $\sum_{k=0}^n \, {n \choose k} = 2^n $

What are the asymptotics of the $q$-binomial?

Calculate $\sum_{ k = 1 } ^ n \ln ( 1 - x ^ k )$

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