List questions from generating-functions

Published on 10 Apr 2026 - 4:51

1k

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Using partial fractions to find explicit formulae for coefficients?

Published on 03 Apr 2026 - 5:25

114

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How the generating function $P(s)=\mathbb E[s^X]$ uniquely determines probabilities $p_n$, $n=1,2,\ldots$

Published on 21 Jun 2013 - 5:41

724

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Number of even parts of a partition

Published on 30 Mar 2026 - 2:07

2.2k

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Proof that $\frac{(\bar X-\mu)}{\sigma}$ and $\sum_{i=1}^n\frac{(X_i-\bar X)^2}{\sigma^2}$ are independent

Published on 30 Mar 2026 - 9:29

1.9k

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Permutation and Combination - Algebraic Expansion

Published on 09 Apr 2026 - 22:34

85

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A small question about generating functions

Published on 10 Apr 2026 - 17:49

433

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Simplify $ \sum_{\{x_{ij}|\forall_i \sum_j x_{ij} = \xi_i, \forall_j \sum_i x_{ij} = \eta_j \}} \prod_{ij} \frac{a_{ij}^{x_{ij}}}{x_{ij}!} $

Published on 24 Jun 2013 - 23:01

1.2k

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Recurrence relations and generating functions question

Published on 25 Jun 2013 - 10:17

772

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Trying to find more information about "Darboux's method/theorem" on coefficients of an analytic function

Published on 28 Mar 2026 - 3:34

401

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Is there a generic approach to Generating Function of periodic sequences?

Published on 10 Apr 2026 - 4:27

123

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How many ways to eat 10 donuts with 5 different flavors?

Published on 02 Jul 2013 - 0:38

827

Views

Number of compositions of n

Published on 02 Jul 2013 - 14:55

1.4k

Views

Quick question about binary strings

Published on 08 Apr 2026 - 15:13

66

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Inequality of the coefficients of a generating function knowing an inequality on the generating function

Published on 06 Jul 2013 - 14:48

List Question

Help with generating functions.

Using partial fractions to find explicit formulae for coefficients?

How the generating function $P(s)=\mathbb E[s^X]$ uniquely determines probabilities $p_n$, $n=1,2,\ldots$

Number of even parts of a partition

Proof that $\frac{(\bar X-\mu)}{\sigma}$ and $\sum_{i=1}^n\frac{(X_i-\bar X)^2}{\sigma^2}$ are independent

Permutation and Combination - Algebraic Expansion

A small question about generating functions

Simplify $ \sum_{\{x_{ij}|\forall_i \sum_j x_{ij} = \xi_i, \forall_j \sum_i x_{ij} = \eta_j \}} \prod_{ij} \frac{a_{ij}^{x_{ij}}}{x_{ij}!} $

Recurrence relations and generating functions question

Trying to find more information about "Darboux's method/theorem" on coefficients of an analytic function

Is there a generic approach to Generating Function of periodic sequences?

How many ways to eat 10 donuts with 5 different flavors?

Number of compositions of n

Quick question about binary strings

Inequality of the coefficients of a generating function knowing an inequality on the generating function

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