List questions from generating-functions

Published on 28 Mar 2026 - 22:26

118

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Prefix and infix forms of functions

Published on 03 Apr 2017 - 17:14

3.6k

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How to separate a double integral function f(x,y)

Published on 05 Apr 2017 - 15:49

26

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Formula for $\sum_{n=0}^\infty x_{n+1}z^n$

Published on 05 Apr 2017 - 17:01

146

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Using generating function to find number of ways to distribute $r$ items

Published on 06 Apr 2017 - 3:11

175

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Counting the Catalan numbers using sequence constructions

Published on 25 Mar 2026 - 23:15

165

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Finding the generating function.

Published on 28 Mar 2026 - 4:33

98

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What is the neatest formula for the coefficients of the composition $f\circ g$ where $f,g$ are formal polynomials or generating functions?

Published on 26 Mar 2026 - 14:34

62

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Zero sum type of problem for non-negative integers

Published on 01 Feb 2023 - 6:38

88

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Solve the following recurrence $P(n,n) = P(n-1,n-2) + c.P(n-1,n-1) + P(n-1,n)$

Published on 01 Feb 2023 - 16:28

31

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unique root of pgf on unit circle

Published on 02 Feb 2023 - 12:08

55

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Recurrence Relation on Stirling Numbers of the First Kind

Published on 27 Mar 2026 - 17:04

620

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Number of ways of distributing 4 apples and 6 mangoes to 8 children so that each child receives at least one fruit

Published on 04 Feb 2023 - 4:10

43

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Generalised algorithm to find generating function for any linear recurrance relation.

Published on 30 Mar 2026 - 5:30

402

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Show $\mathbb{E}(X)=\frac{1-p}{p}$ if $\mathbb{P}(X=k)=p(1-p)^k$

Published on 09 Feb 2023 - 19:55

List Question

Non-backtracking closed walks and the Ihara zeta function (Updated with partial attempt)

Prefix and infix forms of functions

How to separate a double integral function f(x,y)

Formula for $\sum_{n=0}^\infty x_{n+1}z^n$

Using generating function to find number of ways to distribute $r$ items

Counting the Catalan numbers using sequence constructions

Finding the generating function.

What is the neatest formula for the coefficients of the composition $f\circ g$ where $f,g$ are formal polynomials or generating functions?

Zero sum type of problem for non-negative integers

Solve the following recurrence $P(n,n) = P(n-1,n-2) + c.P(n-1,n-1) + P(n-1,n)$

unique root of pgf on unit circle

Recurrence Relation on Stirling Numbers of the First Kind

Number of ways of distributing 4 apples and 6 mangoes to 8 children so that each child receives at least one fruit

Generalised algorithm to find generating function for any linear recurrance relation.

Show $\mathbb{E}(X)=\frac{1-p}{p}$ if $\mathbb{P}(X=k)=p(1-p)^k$

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