Question

Can we define the generating function for all $x$ and all $t$

score 46 · Answer 1 · 2026-04-13 17:27:22

46

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Can we define the generating function for all $x$ and all $t$

Published on 13 Apr 2026 - 17:27

score 62 · Answer 2 · 2026-04-15 13:12:03

62

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How to find the series $a_{n}$ which has this generating function: $f(x)=\frac{1}{1-x^{2}}$?

Published on 15 Apr 2026 - 13:12

score 106 · Answer 3 · 2026-04-15 06:04:46

106

Views

Show that the number of ways of splitting a set with $n$ elements into $k$ non-empty subsets is equal to $x^n$'s coefficient in a series

Published on 15 Apr 2026 - 6:04

score 43 · Answer 4 · 2026-04-15 19:20:47

43

Views

Second grade derivate in Galton Watson Process

Published on 15 Apr 2026 - 19:20

score 123 · Answer 5 · 2026-04-14 03:29:31

123

Views

Number of solutions of $ax+by+cz=n$ in nonnegative integers

Published on 14 Apr 2026 - 3:29

score 177 · Answer 6 · 2026-04-16 21:18:40

177

Views

Solving recurrence relations using generating functions: $ a_{n+2} = 2a_{n+1}^2 a_{n}^3$, where: $ a_{1} = a_{0} = 1$

Published on 16 Apr 2026 - 21:18

score 61 · Answer 7 · 2026-04-09 17:25:58

61

Views

Generating function for product of terms in a sequences

Published on 09 Apr 2026 - 17:25

score 610 · Answer 8 · 2026-04-11 21:19:36

610

Views

Distribution from probability generating function

Published on 11 Apr 2026 - 21:19

score 187 · Answer 9 · 2026-04-09 01:25:40

187

Views

Understanding the fundamental lemma of labelled counting

Published on 09 Apr 2026 - 1:25

score 45 · Answer 10 · 2026-04-15 03:58:04

45

Views

On the partitions of a number

Published on 15 Apr 2026 - 3:58

score 84 · Answer 11 · 2026-03-25 22:09:19

84

Views

Canonical transformation, Lagrangian submanifold and generating function

Published on 25 Mar 2026 - 22:09

score 197 · Answer 12 · 2026-04-14 06:47:02

197

Views

Question about generating functions about an exercise

Published on 14 Apr 2026 - 6:47

score 193 · Answer 13 · 2026-04-10 23:32:13

193

Views

Combinatorics: Number of ways to make 1500 dollars

Published on 10 Apr 2026 - 23:32

score 68 · Answer 14 · 2026-04-16 18:08:49

68

Views

Given a board of size $1 \times n$,in how many this board can be colored with the colors white,yellow,blue assuming the number of blue cells is even

Published on 16 Apr 2026 - 18:08

score 58 · Answer 15 · 2026-04-13 17:27:32

58

Views

Can we find generating function for $\sum_{k=0}^\infty \sum_{i=0}^n(-1)^i\binom{n}{i}\binom{rk-mi-1}{n-1}$?

Published on 13 Apr 2026 - 17:27

List Question

Can we define the generating function for all $x$ and all $t$

How to find the series $a_{n}$ which has this generating function: $f(x)=\frac{1}{1-x^{2}}$?

Show that the number of ways of splitting a set with $n$ elements into $k$ non-empty subsets is equal to $x^n$'s coefficient in a series

Second grade derivate in Galton Watson Process

Number of solutions of $ax+by+cz=n$ in nonnegative integers

Solving recurrence relations using generating functions: $ a_{n+2} = 2a_{n+1}^2 a_{n}^3$, where: $ a_{1} = a_{0} = 1$

Generating function for product of terms in a sequences

Distribution from probability generating function

Understanding the fundamental lemma of labelled counting

On the partitions of a number

Canonical transformation, Lagrangian submanifold and generating function

Question about generating functions about an exercise

Combinatorics: Number of ways to make 1500 dollars

Given a board of size $1 \times n$,in how many this board can be colored with the colors white,yellow,blue assuming the number of blue cells is even

Can we find generating function for $\sum_{k=0}^\infty \sum_{i=0}^n(-1)^i\binom{n}{i}\binom{rk-mi-1}{n-1}$?

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