Question

How many ways to select $n$ balls using generating function

score 360 · Answer 1 · 2026-03-26 03:11:03

360

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How many ways to select $n$ balls using generating function

Published on 26 Mar 2026 - 3:11

score 57 · Answer 2 · 2026-03-30 08:12:38

57

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Generating function containing Incomplete gamma function

Published on 30 Mar 2026 - 8:12

score 41 · Answer 3 · 2020-02-19 16:17:04

41

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A result related to generating functions I am unable to prove.

Published on 19 Feb 2020 - 16:17

score 148 · Answer 4 · 2026-03-27 07:50:26

148

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How to prove $\sum _{k=1}^{\infty } (-1)^k H_{\frac{2 k}{3}} = -\frac{\pi }{2 \sqrt{3}}+\frac{3 \pi }{8}-\frac{3}{4} \log (2)$?

Published on 27 Mar 2026 - 7:50

score 223 · Answer 5 · 2020-02-21 13:05:27

223

Views

Direct formula for sequence

Published on 21 Feb 2020 - 13:05

score 221 · Answer 6 · 2020-02-22 23:54:47

221

Views

Prove that $\log(1/(1-x)) = \sum_{i=1}^\infty \frac{x^i}{i}$

Published on 22 Feb 2020 - 23:54

score 75 · Answer 7 · 2020-02-24 16:59:39

75

Views

Find a generating function of $(0,0,1\cdot2^1,0,0,2\cdot2^2,0,0,3\cdot2^3,\ldots)$

Published on 24 Feb 2020 - 16:59

score 76 · Answer 8 · 2020-02-24 21:24:36

76

Views

Generating function of reciprocal odd numbers

Published on 24 Feb 2020 - 21:24

score 109 · Answer 9 · 2026-03-30 01:44:58

109

Views

finding a formula for the generating function for a recurring sequence

Published on 30 Mar 2026 - 1:44

score 256 · Answer 10 · 2020-02-25 02:35:39

256

Views

Calculate sum with binomials using generating functions

Published on 25 Feb 2020 - 2:35

score 103 · Answer 11 · 2026-03-30 00:59:30

103

Views

A question related to newton Binomial Theorem I am unable to think about

Published on 30 Mar 2026 - 0:59

score 105 · Answer 12 · 2026-03-30 08:18:27

105

Views

Generating function of gamma quotient.

Published on 30 Mar 2026 - 8:18

score 166 · Answer 13 · 2026-03-25 07:45:35

166

Views

Show $\sum_{n \in \mathbb{Z}} \sum_{k \in \mathbb{Z}} a_k b_{n-k} z^n =(\sum_{n \in \mathbb{Z}}a_n z^n)(\sum_{n \in \mathbb{Z}}b_n z^n)$

Published on 25 Mar 2026 - 7:45

score 1k · Answer 14 · 2026-03-27 00:10:14

1k

Views

Combinatorial proof of identity involving central binomial coefficients $ \sum_{k=0}^{n-1} {2k \choose k} \cdot 2^{2(n-k)} = 2n \cdot {2n \choose n}$

Published on 27 Mar 2026 - 0:10

score 48 · Answer 15 · 2020-03-03 23:26:33

48

Views

Help solving a Sturm-Liouville differential? (alternate method for closed-form expression of a related generating function)

Published on 03 Mar 2020 - 23:26

List Question

How many ways to select $n$ balls using generating function

Generating function containing Incomplete gamma function

A result related to generating functions I am unable to prove.

How to prove $\sum _{k=1}^{\infty } (-1)^k H_{\frac{2 k}{3}} = -\frac{\pi }{2 \sqrt{3}}+\frac{3 \pi }{8}-\frac{3}{4} \log (2)$?

Direct formula for sequence

Prove that $\log(1/(1-x)) = \sum_{i=1}^\infty \frac{x^i}{i}$

Find a generating function of $(0,0,1\cdot2^1,0,0,2\cdot2^2,0,0,3\cdot2^3,\ldots)$

Generating function of reciprocal odd numbers

finding a formula for the generating function for a recurring sequence

Calculate sum with binomials using generating functions

A question related to newton Binomial Theorem I am unable to think about

Generating function of gamma quotient.

Show $\sum_{n \in \mathbb{Z}} \sum_{k \in \mathbb{Z}} a_k b_{n-k} z^n =(\sum_{n \in \mathbb{Z}}a_n z^n)(\sum_{n \in \mathbb{Z}}b_n z^n)$

Combinatorial proof of identity involving central binomial coefficients $ \sum_{k=0}^{n-1} {2k \choose k} \cdot 2^{2(n-k)} = 2n \cdot {2n \choose n}$

Help solving a Sturm-Liouville differential? (alternate method for closed-form expression of a related generating function)

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