Question

What is the definition of the Complete Gamma Function?

score 65 · Answer 1 · 2022-06-23 12:52:13

65

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What is the definition of the Complete Gamma Function?

Published on 23 Jun 2022 - 12:52

score 91 · Answer 2 · 2026-02-23 08:39:31

91

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Why is $B_{2n}(\frac12+ix)\in\mathbb R$ whenever $x\in\mathbb R$?

Published on 23 Feb 2026 - 8:39

score 370 · Answer 3 · 2026-02-23 08:36:46

370

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Euler Numbers and Bernoulli Numbers

Published on 23 Feb 2026 - 8:36

score 77 · Answer 4 · 2026-02-23 08:41:31

77

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Prove a Bernoulli polynomial equation: $B_s(x+y)=\sum_{j=0}^s \binom{s}{j} B_{j}(x)\cdot y^{s-j}$

Published on 23 Feb 2026 - 8:41

score 99 · Answer 5 · 2022-07-15 11:46:18

99

Views

Some questions about the values of Riemann zeta function at positive integers.

Published on 15 Jul 2022 - 11:46

score 62 · Answer 6 · 2022-08-03 13:16:43

62

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Why does the asymptotic approximating function for a series sum of a harmonic progression diverge as Bernoulli terms are expanded?

Published on 03 Aug 2022 - 13:16

score 204 · Answer 7 · 2026-02-23 10:19:34

204

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The relation of the Bernoulli numbers to the Catalan numbers

Published on 23 Feb 2026 - 10:19

score 578 · Answer 8 · 2022-08-14 23:08:07

578

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How do you apply the digit-extraction algorithm from Plouffe (2022)?

Published on 14 Aug 2022 - 23:08

score 350 · Answer 9 · 2022-08-22 00:40:38

350

Views

Bernoulli numbers alternate signs

Published on 22 Aug 2022 - 0:40

score 642 · Answer 10 · 2022-08-27 22:14:36

642

Views

Bernoulli numbers identity:$\sum_{k=0}^n\sum_{l=0}^m\binom{n}{k}\binom{m}{l}\frac{(n-k)!(m-l)!}{(n+m-k-l+1)!}(-1)^l B_{k+l}=0$,for all $n\ge1$,$m\ge0$

Published on 27 Aug 2022 - 22:14

score 63 · Answer 11 · 2022-09-02 21:02:46

63

Views

Why generating function of Bernoulli Numbers is not continuous?

Published on 02 Sep 2022 - 21:02

score 39 · Answer 12 · 2026-02-23 13:44:38

39

Views

Is there an accurate representation of Bernoulli umbra?

Published on 23 Feb 2026 - 13:44

score 178 · Answer 13 · 2026-02-23 08:40:13

178

Views

$n$-th derivative of $1/(e^x - 1)$ (related with Bernoulli numbers)

Published on 23 Feb 2026 - 8:40

score 103 · Answer 14 · 2022-11-14 14:00:47

103

Views

Query on the inverse function of Faulhaber's formula

Published on 14 Nov 2022 - 14:00

score 43 · Answer 15 · 2022-12-15 10:38:58

43

Views

Closed form expression for the sum of $i^a (n-i)^b$ from $0$ to $n$

Published on 15 Dec 2022 - 10:38

List Question

What is the definition of the Complete Gamma Function?

Why is $B_{2n}(\frac12+ix)\in\mathbb R$ whenever $x\in\mathbb R$?

Euler Numbers and Bernoulli Numbers

Prove a Bernoulli polynomial equation: $B_s(x+y)=\sum_{j=0}^s \binom{s}{j} B_{j}(x)\cdot y^{s-j}$

Some questions about the values of Riemann zeta function at positive integers.

Why does the asymptotic approximating function for a series sum of a harmonic progression diverge as Bernoulli terms are expanded?

The relation of the Bernoulli numbers to the Catalan numbers

How do you apply the digit-extraction algorithm from Plouffe (2022)?

Bernoulli numbers alternate signs

Bernoulli numbers identity:$\sum_{k=0}^n\sum_{l=0}^m\binom{n}{k}\binom{m}{l}\frac{(n-k)!(m-l)!}{(n+m-k-l+1)!}(-1)^l B_{k+l}=0$,for all $n\ge1$,$m\ge0$

Why generating function of Bernoulli Numbers is not continuous?

Is there an accurate representation of Bernoulli umbra?

$n$-th derivative of $1/(e^x - 1)$ (related with Bernoulli numbers)

Query on the inverse function of Faulhaber's formula

Closed form expression for the sum of $i^a (n-i)^b$ from $0$ to $n$

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