List questions from generating-functions

Published on 27 Jan 2018 - 15:27

343

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Asymptotics of a recursive sequence

Published on 25 Mar 2026 - 1:33

137

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Proof of asymptotics of a recursion or functional equation

Published on 24 Mar 2026 - 22:09

61

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I've got a formula for a generating function, but I can't seem to solve it

Published on 31 Jan 2018 - 8:59

50

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generating function / stream cipher

Published on 20 Mar 2026 - 19:21

504

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Infinite series with harmonic numbers related to elliptic integrals

Published on 20 Mar 2026 - 14:24

40

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Asymptotic behavior of the number of ways a real plane curve of degree $n$ can intersect a real line

Published on 19 Mar 2026 - 23:15

197

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annihilated coefficient extractor (ACE)

Published on 22 Mar 2026 - 18:31

107

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Find number of ordered sets

Published on 21 Mar 2026 - 23:51

76

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find closed form for recurrence relation using generating function. terminate exercise

Published on 04 Feb 2018 - 16:03

389

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money changing problem

Published on 20 Mar 2026 - 4:40

154

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Does having closed forms of two generating functions guarantee that one can find the closed form of their term-by-term product?

Published on 05 Feb 2018 - 19:03

45

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How to get $[z^n]\displaystyle\frac{z^k}{(1-z)^k} = {n-1 \choose k-1}?$

Published on 25 Mar 2026 - 4:42

51

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Expressing changes done to sequences in terms of changes done to their generating functions.

Published on 10 Feb 2018 - 7:44

553

Views

Joint moment generating function of $X_i$'s where $X_i$ is a linear combination of standard normals

Published on 23 Mar 2026 - 3:00

List Question

find closed form for recurrence relation using generating function

Asymptotics of a recursive sequence

Proof of asymptotics of a recursion or functional equation

I've got a formula for a generating function, but I can't seem to solve it

generating function / stream cipher

Infinite series with harmonic numbers related to elliptic integrals

Asymptotic behavior of the number of ways a real plane curve of degree $n$ can intersect a real line

annihilated coefficient extractor (ACE)

Find number of ordered sets

find closed form for recurrence relation using generating function. terminate exercise

money changing problem

Does having closed forms of two generating functions guarantee that one can find the closed form of their term-by-term product?

How to get $[z^n]\displaystyle\frac{z^k}{(1-z)^k} = {n-1 \choose k-1}?$

Expressing changes done to sequences in terms of changes done to their generating functions.

Joint moment generating function of $X_i$'s where $X_i$ is a linear combination of standard normals

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