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Properties of Gaussian binomial coefficient

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#combinatorics #q-analogs
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$q$-analog confusion

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#combinatorics #q-analogs
255
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Gauss identities of $q$-analog

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#combinatorics #q-analogs
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Importance of $q$-analog

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#combinatorics #q-analogs
70
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$q$-analogs confusion in some steps

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#combinatorics #q-analogs
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Bijection for $q$-binomial coefficient

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#combinatorics #binomial-coefficients #integer-partitions #q-analogs
53
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For $|q|<1$, the function $\frac{(az;q)_\infty}{(z;q)_\infty}$ is analytic on $|z|<1$.

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#complex-analysis #analyticity #analytic-functions #q-series #q-analogs
140
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Double sum of Lambert series: Partial sum in closed form desired!

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#sequences-and-series #theta-functions #q-series #q-analogs
62
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What closed forms exist for this basic hypergeometric series?

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#sequences-and-series #hypergeometric-function #q-analogs
58
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Can the following integral involving digamma be evaluated in closed form (special functions allowed but not preferred)?

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#definite-integrals #digamma-function #q-analogs
409
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Partial sum formula of following series

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#sequences-and-series #q-series #q-analogs
170
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Irreducibility of q-factorial plus 1

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#polynomials #irreducible-polynomials #q-analogs
61
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A closed form of $q$-analog finite sum

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#q-analogs
206
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Maximal chains of nested subspaces

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#combinatorics #vector-spaces #q-analogs
2k
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Conjectured formula for the Fabius function

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#real-analysis #sequences-and-series #conjectures #experimental-mathematics #q-analogs

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