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15
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pochammer symbol and hypergeometric function

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#gamma-function #hypergeometric-function #pochhammer-symbol
266
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Using Ramanujan-type series for $1/\pi^m$ to find formulas for $\zeta(2),\, \zeta(3),\, \zeta(4)$?

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#sequences-and-series #closed-form #riemann-zeta #pi #pochhammer-symbol
36
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Simplifying a Complex Expression Involving Pochammer symbols and sums

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#summation #factorial #pochhammer-symbol
110
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Constant term of generating function to solve special case of Subset Sum Problem

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#combinatorics #computer-science #generating-functions #fast-fourier-transform #pochhammer-symbol
48
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$q$-Pochhammer at root of unity

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#combinatorics #number-theory #infinite-product #q-analogs #pochhammer-symbol
65
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Interesting integral arising from gravitational 2-point function

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#integration #pochhammer-symbol
73
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What does this specific notation mean?

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#notation #orthogonal-polynomials #pochhammer-symbol
19
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Show $\sum_{n=0}^\infty \frac{(cq^n)_{\infty}}{(bq^n)_{\infty}}=\sum_{m=0}^\infty \frac{(c/b)_mb^mq^{nm}}{(q)_m}$

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#sequences-and-series #infinite-product #pochhammer-symbol
33
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Why the author has treated the u, v, r and s as constants even though they are dependent on $\delta$

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#real-analysis #inequality #proof-explanation #pochhammer-symbol
266
Views

An attempt for approximating the logarithm function $\ln(x)$: Could be extended for big numbers?

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#real-analysis #combinatorics #convergence-divergence #solution-verification #pochhammer-symbol
642
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Looking for the limit of a sum

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#calculus #sequences-and-series #limits #convergence-divergence #pochhammer-symbol
123
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Q Pochammer Symbol Product Identities

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#sequences-and-series #combinatorics #complex-analysis #infinite-product #pochhammer-symbol
61
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How can I show that $\left(a-n-1\right)!/\left(a-1\right)!=\left(-a\right)!\left(-1\right)^n/\left(-a+n\right)!$?

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#special-functions #pochhammer-symbol
452
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Falling power of a sum in terms of falling powers of the terms

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#discrete-mathematics #binomial-theorem #stirling-numbers #pochhammer-symbol
2k
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Integral of binomial coefficients

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#integration #special-functions #gamma-function #bernoulli-numbers #pochhammer-symbol

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