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help with an infinite series, hypergeometric function

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#sequences-and-series #hypergeometric-function #q-series
293
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Is this sum constant for n?

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#sequences-and-series #products #infinite-product #q-series
59
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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
119
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Ramanujan congruence mod 7

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#integer-partitions #q-series
182
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How to find first 32 digits of $\displaystyle \prod_{n=1}^{\infty} (1-\gamma^n)$?

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#infinite-product #q-series
146
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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
416
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Partial sum formula of following series

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#sequences-and-series #q-series #q-analogs
62
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Analyzing the convergence of a series

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#sequences-and-series #q-series
688
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A question on a sum of $q$-binomial coefficients

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#summation #q-analogs #q-series
153
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About $\prod{\left(1-q^n\right)^{5}}$

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#power-series #infinite-product #q-series
537
Views

An expression for $U_{h,0}$ given $U_{n,k}=\frac{c^n}{c^n-1}(U_{n-1,k+1})-\frac{1}{c^n-1}(U_{n-1,k})$

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#combinatorics #q-series
451
Views

Modular forms on the theta group

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#modular-forms #theta-functions #q-series
63
Views

a question on sum of q_binomials

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#summation #hypergeometric-function #q-series
181
Views

octagonal number theorem $q$-Pochhammer symbol expression

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#combinatorics #special-functions #q-series
718
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q-theta function and their properties

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#special-functions #theta-functions #q-series

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