Question

Probability Generating Function of a Negative Multinomial Distribution

score 884 · Answer 1 · 2026-03-18 04:23:46

884

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Probability Generating Function of a Negative Multinomial Distribution

Published on 18 Mar 2026 - 4:23

score 843 · Answer 2 · 2015-05-03 11:02:28

843

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Generating function for the number of ways to part an integer $n$ such that no summand will repeat more than 3 times

Published on 03 May 2015 - 11:02

score 224 · Answer 3 · 2015-05-03 12:47:32

224

Views

Some unique representation of nonnegative integers

Published on 03 May 2015 - 12:47

score 462 · Answer 4 · 2015-05-03 21:10:44

462

Views

Challenging recurrence relation problem

Published on 03 May 2015 - 21:10

score 61 · Answer 5 · 2015-05-04 07:42:39

61

Views

Solve recurrence by generating functions

Published on 04 May 2015 - 7:42

score 323 · Answer 6 · 2015-05-06 03:45:30

How many different ways can $ 8 $ identical pens be distributed among $ 3 $ children if each child gets at least $ 2 $ pens and no more than $ 4 $?

score 347 · Answer 7 · 2015-05-06 05:53:09

347

Views

Solving a recurrence relation using generating functions

Published on 06 May 2015 - 5:53

score 412 · Answer 8 · 2015-05-06 16:37:59

412

Views

Delannoy path problem

Published on 06 May 2015 - 16:37

score 6.2k · Answer 9 · 2015-05-06 17:09:29

6.2k

Views

Find generating function for the numeric function.

Published on 06 May 2015 - 17:09

score 44 · Answer 10 · 2015-05-07 05:16:17

44

Views

Evaluating the inverse Laplace transform of $1/(s^2-\sum_{n=1}^\infty{n!s^{3-n}x^n})$

Published on 07 May 2015 - 5:16

score 660 · Answer 11 · 2015-05-07 12:29:09

660

Views

On the number of ways to make $50n$ cents out of pennies, nickels, dimes and quarters

Published on 07 May 2015 - 12:29

score 106 · Answer 12 · 2015-05-08 00:33:09

106

Views

What did i do wrong with this derivation?

Published on 08 May 2015 - 0:33

score 124 · Answer 13 · 2015-05-08 08:28:30

124

Views

W/ generating functions, How many solutions are there to the equation $2a+3b+c=n$ for some integer $n \geq 0$ and $a, b, c \geq 0$?

Published on 08 May 2015 - 8:28

score 300 · Answer 14 · 2015-05-08 13:08:45

300

Views

$\sum \limits_{n \geq 0}a_n \frac{x^n}{n!}=e^{x+x^2/2}$ implies $a_n \sim \frac1{\sqrt2} n^{\frac n2}e^{ -\frac n2+\sqrt n -\frac14 }$

Published on 08 May 2015 - 13:08

score 147 · Answer 15 · 2015-05-08 14:01:09

147

Views

The value of ${\sum_{k=0}^{20}}(-1)^k\binom{30}{k}\binom{30}{k+10}$

Published on 08 May 2015 - 14:01

List Question

Probability Generating Function of a Negative Multinomial Distribution

Generating function for the number of ways to part an integer $n$ such that no summand will repeat more than 3 times

Some unique representation of nonnegative integers

Challenging recurrence relation problem

Solve recurrence by generating functions

How many different ways can $ 8 $ identical pens be distributed among $ 3 $ children if each child gets at least $ 2 $ pens and no more than $ 4 $?

Solving a recurrence relation using generating functions

Delannoy path problem

Find generating function for the numeric function.

Evaluating the inverse Laplace transform of $1/(s^2-\sum_{n=1}^\infty{n!s^{3-n}x^n})$

On the number of ways to make $50n$ cents out of pennies, nickels, dimes and quarters

What did i do wrong with this derivation?

W/ generating functions, How many solutions are there to the equation $2a+3b+c=n$ for some integer $n \geq 0$ and $a, b, c \geq 0$?

$\sum \limits_{n \geq 0}a_n \frac{x^n}{n!}=e^{x+x^2/2}$ implies $a_n \sim \frac1{\sqrt2} n^{\frac n2}e^{ -\frac n2+\sqrt n -\frac14 }$

The value of ${\sum_{k=0}^{20}}(-1)^k\binom{30}{k}\binom{30}{k+10}$

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