List questions from pochhammer-symbol

Published on 05 Oct 2013 - 3:24

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Unimodality of q-binomial coefficients

Published on 07 Dec 2013 - 3:20

626

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Combinatorial Identity $ \sum_{k=1}^n (-1)^{k-1} \cdot q^{\frac{k(k-1)}{2}} \cdot \frac{\prod_{i=n-k+1}^n(1-q^i)}{\prod_{i=1}^k(1-q^i)} = 1 $

Published on 25 Mar 2026 - 12:50

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An identity involving the Pochhammer symbol

Published on 29 Jan 2014 - 21:29

344

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Coefficients in Pochhammer Expansion

Published on 03 Feb 2014 - 15:58

80

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Generalization of factorial powers of custom step to complex power, it is possible?

Published on 23 May 2017 - 0:50

432

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Definite integral of exponential, power and Bessel function : a hypergeometric function?

Published on 10 Jun 2017 - 0:39

932

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Poles of hypergeometric function $_2F_1$

Published on 25 Mar 2026 - 16:06

193

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Integrating a Tricky Infinite Sum with a Rising Factorial

Published on 17 Jun 2017 - 22:46

156

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Solve ODE $y''(x) - iy'(x)-\alpha y(x)/x^{2} = 0$

Published on 23 Feb 2026 - 12:03

327

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Is this expansion related to Pochhammer's symbol, the gamma function, and beta function valid for $a<0$ and $a\neq 0,-1,-2,\ldots$?

Published on 14 Sep 2017 - 1:25

310

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Solving finite sum in terms of the generalized hypergeometric function

Published on 20 Sep 2017 - 11:37

61

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Finding the coefficient in the expansion of $\prod\limits_{m=1}^N \left(1-R^mA\right)$

Published on 02 Oct 2017 - 14:54

74

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Summing nearly successive falling factorials

Published on 10 Oct 2017 - 14:45

104

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distribution of partitions of N into m distinct parts bounded by L

Published on 16 Nov 2017 - 14:30

List Question

Identity using q-Pochhammer symbols

Unimodality of q-binomial coefficients

Combinatorial Identity $ \sum_{k=1}^n (-1)^{k-1} \cdot q^{\frac{k(k-1)}{2}} \cdot \frac{\prod_{i=n-k+1}^n(1-q^i)}{\prod_{i=1}^k(1-q^i)} = 1 $

An identity involving the Pochhammer symbol

Coefficients in Pochhammer Expansion

Generalization of factorial powers of custom step to complex power, it is possible?

Definite integral of exponential, power and Bessel function : a hypergeometric function?

Poles of hypergeometric function $_2F_1$

Integrating a Tricky Infinite Sum with a Rising Factorial

Solve ODE $y''(x) - iy'(x)-\alpha y(x)/x^{2} = 0$

Is this expansion related to Pochhammer's symbol, the gamma function, and beta function valid for $a<0$ and $a\neq 0,-1,-2,\ldots$?

Solving finite sum in terms of the generalized hypergeometric function

Finding the coefficient in the expansion of $\prod\limits_{m=1}^N \left(1-R^mA\right)$

Summing nearly successive falling factorials

distribution of partitions of N into m distinct parts bounded by L

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