Question

Expectation of the sum of N Poisson r.v.

score 65 · Answer 1 · 2018-05-08 12:01:52

65

Views

Expectation of the sum of N Poisson r.v.

Published on 08 May 2018 - 12:01

score 105 · Answer 2 · 2026-03-26 08:03:18

105

Views

Coefficients in Faulhabers' sum $\sum n^{2m+1}, \ m=0,1,2...$

Published on 26 Mar 2026 - 8:03

score 54 · Answer 3 · 2026-03-25 07:43:04

54

Views

Degree of generating polynomial associated with two partitions

Published on 25 Mar 2026 - 7:43

score 703 · Answer 4 · 2026-03-25 20:45:43

703

Views

Generating function for the Catalan numbers

Published on 25 Mar 2026 - 20:45

score 330 · Answer 5 · 2018-05-13 16:26:30

330

Views

Manipulation of generating functions+quadratic equation with generating functions

Published on 13 May 2018 - 16:26

score 19 · Answer 6 · 2026-03-25 12:50:08

19

Views

If $i$ is recurrent then expected recurrence time is the limit of $\frac 1 {(1-s)p_{ii}(s)}$

Published on 25 Mar 2026 - 12:50

score 101 · Answer 7 · 2018-05-14 08:38:02

101

Views

How to find recurrence for $f(x)$ coefficient in the expression $f(x)\cdot(1+2x+2x^2+x^3)=\frac{1}{1-x^3}$ using generating functions?

Published on 14 May 2018 - 8:38

score 56 · Answer 8 · 2018-05-14 15:14:10

56

Views

How many solutions are to the equation if there's range restriction on some numbers while some numbers must be divisible by $3$?

Published on 14 May 2018 - 15:14

score 130 · Answer 9 · 2018-05-14 18:48:48

130

Views

A better way to solve non-homogeneous linear recurrences?

Published on 14 May 2018 - 18:48

score 60 · Answer 10 · 2018-05-15 11:40:53

60

Views

How to solve multiplication of $3$ generating functions?

Published on 15 May 2018 - 11:40

score 84 · Answer 11 · 2018-05-17 22:06:00

84

Views

How to prove that generating function of series ($1 ,\binom{m}{1},\binom{m+1}{2},\binom{m+2}{3},...$ ) equals $\frac{1}{(1-z)^m}$ .

Published on 17 May 2018 - 22:06

score 86 · Answer 12 · 2018-05-20 12:14:27

86

Views

Connection between two solutions to the coin flipping pattern problem

Published on 20 May 2018 - 12:14

score 48 · Answer 13 · 2018-05-23 09:33:02

48

Views

Generating function from a summation relation

Published on 23 May 2018 - 9:33

score 39 · Answer 14 · 2026-03-25 07:45:55

39

Views

Find a polynomial $p(x)$ such that $p(x)(2x+6x^2+\cdots + n(n+1)x^n + \cdots ) = \frac{2x(1+x)^2}{(1-x)}$

Published on 25 Mar 2026 - 7:45

score 85 · Answer 15 · 2026-03-25 10:56:57

85

Views

Prove that $p_2(n) = \left \lfloor{\frac{n}{2}}\right \rfloor+1$ using identity

Published on 25 Mar 2026 - 10:56

List Question

Expectation of the sum of N Poisson r.v.

Coefficients in Faulhabers' sum $\sum n^{2m+1}, \ m=0,1,2...$

Degree of generating polynomial associated with two partitions

Generating function for the Catalan numbers

Manipulation of generating functions+quadratic equation with generating functions

If $i$ is recurrent then expected recurrence time is the limit of $\frac 1 {(1-s)p_{ii}(s)}$

How to find recurrence for $f(x)$ coefficient in the expression $f(x)\cdot(1+2x+2x^2+x^3)=\frac{1}{1-x^3}$ using generating functions?

How many solutions are to the equation if there's range restriction on some numbers while some numbers must be divisible by $3$?

A better way to solve non-homogeneous linear recurrences?

How to solve multiplication of $3$ generating functions?

How to prove that generating function of series ($1 ,\binom{m}{1},\binom{m+1}{2},\binom{m+2}{3},...$ ) equals $\frac{1}{(1-z)^m}$ .

Connection between two solutions to the coin flipping pattern problem

Generating function from a summation relation

Find a polynomial $p(x)$ such that $p(x)(2x+6x^2+\cdots + n(n+1)x^n + \cdots ) = \frac{2x(1+x)^2}{(1-x)}$

Prove that $p_2(n) = \left \lfloor{\frac{n}{2}}\right \rfloor+1$ using identity

Trending Questions

Popular # Hahtags

Popular Questions