Question

Trying to understand a proof relating Stirling number of the second kind to its exponential generating function

score 164 · Answer 1 · 2023-05-24 15:43:28

164

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Trying to understand a proof relating Stirling number of the second kind to its exponential generating function

Published on 24 May 2023 - 15:43

score 199 · Answer 2 · 2023-05-27 16:11:18

199

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Closed form of $ \sum_{k=0}^{n} (-1)^{n-k}\binom{n}{k}2^k k^m$?

Published on 27 May 2023 - 16:11

score 69 · Answer 3 · 2023-06-20 20:12:10

69

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Euler Numbers in Terms of Stirling Numbers of the Second Kind

Published on 20 Jun 2023 - 20:12

score 63 · Answer 4 · 2026-03-26 12:33:51

63

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Evaluate $\sum\limits_{n=0}^\infty\operatorname W(e^{e^{an}})x^n$ with Lambert W function

Published on 26 Mar 2026 - 12:33

score 54 · Answer 5 · 2023-06-23 19:01:16

54

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Stirling numbers of the first kind: A combinatorial interpretation problem

Published on 23 Jun 2023 - 19:01

score 133 · Answer 6 · 2023-06-24 15:02:31

133

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Formula involving the Stirling numbers of the second kind

Published on 24 Jun 2023 - 15:02

score 77 · Answer 7 · 2026-03-27 15:07:26

77

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Another formulation for Stirling numbers of the second kind

Published on 27 Mar 2026 - 15:07

score 61 · Answer 8 · 2023-08-02 11:53:43

61

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Is there a simple formula for the Stirling numbers of the first kind?

Published on 02 Aug 2023 - 11:53

score 45 · Answer 9 · 2023-08-12 12:50:53

45

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Probability Distribution: Random lift stops

Published on 12 Aug 2023 - 12:50

score 30 · Answer 10 · 2023-08-25 19:58:22

30

Views

Placing letter in circles using Stirling number of first kind

Published on 25 Aug 2023 - 19:58

score 39 · Answer 11 · 2023-09-09 16:46:09

39

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Why if $\chi (G)=k$, then we have $S(G,k)=\frac{P(G,k)}{k!}$?

Published on 09 Sep 2023 - 16:46

score 72 · Answer 12 · 2023-09-12 05:04:22

72

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Generatingfunctionology 1.6 Stirling Number

Published on 12 Sep 2023 - 5:04

score 50 · Answer 13 · 2023-09-13 08:32:32

50

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$\dfrac{\mathrm{d}^n}{\mathrm{d}x^n}\dfrac{e^{ax}}{\ln(cx)}$ and summation with Stirling number of the first kind

Published on 13 Sep 2023 - 8:32

score 114 · Answer 14 · 2023-09-16 01:15:49

114

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Riemann zeta function at negative integers as combination of Stirling numbers and Gregory coefficients

Published on 16 Sep 2023 - 1:15

score 25 · Answer 15 · 2023-09-20 09:36:24

25

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Stirling numbers of second kind recurrence relation on $k$

Published on 20 Sep 2023 - 9:36

List Question

Trying to understand a proof relating Stirling number of the second kind to its exponential generating function

Closed form of $ \sum_{k=0}^{n} (-1)^{n-k}\binom{n}{k}2^k k^m$?

Euler Numbers in Terms of Stirling Numbers of the Second Kind

Evaluate $\sum\limits_{n=0}^\infty\operatorname W(e^{e^{an}})x^n$ with Lambert W function

Stirling numbers of the first kind: A combinatorial interpretation problem

Formula involving the Stirling numbers of the second kind

Another formulation for Stirling numbers of the second kind

Is there a simple formula for the Stirling numbers of the first kind?

Probability Distribution: Random lift stops

Placing letter in circles using Stirling number of first kind

Why if $\chi (G)=k$, then we have $S(G,k)=\frac{P(G,k)}{k!}$?

Generatingfunctionology 1.6 Stirling Number

$\dfrac{\mathrm{d}^n}{\mathrm{d}x^n}\dfrac{e^{ax}}{\ln(cx)}$ and summation with Stirling number of the first kind

Riemann zeta function at negative integers as combination of Stirling numbers and Gregory coefficients

Stirling numbers of second kind recurrence relation on $k$

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