Question

I cannot see what happens to $P_{ij}(s)=p_{ij}^0+\sum^\infty_{n=1}\sum^{n-1}_{k=0}s^{n-k}f_{ij}^{n-k}s^kp_{jj}^k$ to get result

score 381 · Answer 1 · 2013-11-28 18:12:43

381

Views

I cannot see what happens to $P_{ij}(s)=p_{ij}^0+\sum^\infty_{n=1}\sum^{n-1}_{k=0}s^{n-k}f_{ij}^{n-k}s^kp_{jj}^k$ to get result

Published on 28 Nov 2013 - 18:12

score 1.2k · Answer 2 · 2026-04-03 12:51:00

1.2k

Views

Generating Function for Binary String Question

Published on 03 Apr 2026 - 12:51

score 2k · Answer 3 · 2013-11-30 05:46:30

2k

Views

Give the formula for a function with natural domain $(\infty ,0]\cup [10,\infty)$ and with range $(-\infty, -1]$

Published on 30 Nov 2013 - 5:46

score 639 · Answer 4 · 2026-03-30 05:29:08

639

Views

Number of 1's among all partitions of an integer

Published on 30 Mar 2026 - 5:29

score 300 · Answer 5 · 2013-12-02 21:31:36

300

Views

Evaluate the Sum using Exponential Generating Functions

Published on 02 Dec 2013 - 21:31

score 1.8k · Answer 6 · 2026-04-11 10:15:12

1.8k

Views

Nonnegative Integer Solutions using Generating Functions

Published on 11 Apr 2026 - 10:15

score 32 · Answer 7 · 2013-12-03 21:55:13

32

Views

Is it possible to combine the formula for $f_0$ and $f_{n\ge1}$ to get $f_{n\ge0}$?

Published on 03 Dec 2013 - 21:55

score 503 · Answer 8 · 2026-04-11 08:07:19

503

Views

Using Generating Series to Find Sum of Sides of Dice

Published on 11 Apr 2026 - 8:07

score 240 · Answer 9 · 2013-12-04 17:21:16

240

Views

Finding Generating Series for Number of "words" in an Alphabet

Published on 04 Dec 2013 - 17:21

score 221 · Answer 10 · 2013-12-04 19:17:59

221

Views

Generating function of $a_n = \sum_{k = 0}^{\lfloor\frac{n}{2}\rfloor}{n \choose 2k}\frac{(2k)!}{k!2^k}$ is $e^{x+x^2/2}$?

Published on 04 Dec 2013 - 19:17

score 139 · Answer 11 · 2026-04-10 18:33:56

139

Views

Generating function for division of $n$ into smaller subsets.

Published on 10 Apr 2026 - 18:33

score 166 · Answer 12 · 2026-04-09 13:35:10

166

Views

Express number of ways integer can be written as coefficient in generating series

Published on 09 Apr 2026 - 13:35

score 790 · Answer 13 · 2026-04-11 18:20:08

790

Views

Combinations of a Multi-set with generating functions

Published on 11 Apr 2026 - 18:20

score 333 · Answer 14 · 2026-03-28 13:31:04

333

Views

Card game probability

Published on 28 Mar 2026 - 13:31

score 634 · Answer 15 · 2013-12-11 12:37:34

634

Views

Generating function for the characteristic function of primes

Published on 11 Dec 2013 - 12:37

List Question

I cannot see what happens to $P_{ij}(s)=p_{ij}^0+\sum^\infty_{n=1}\sum^{n-1}_{k=0}s^{n-k}f_{ij}^{n-k}s^kp_{jj}^k$ to get result

Generating Function for Binary String Question

Give the formula for a function with natural domain $(\infty ,0]\cup [10,\infty)$ and with range $(-\infty, -1]$

Number of 1's among all partitions of an integer

Evaluate the Sum using Exponential Generating Functions

Nonnegative Integer Solutions using Generating Functions

Is it possible to combine the formula for $f_0$ and $f_{n\ge1}$ to get $f_{n\ge0}$?

Using Generating Series to Find Sum of Sides of Dice

Finding Generating Series for Number of "words" in an Alphabet

Generating function of $a_n = \sum_{k = 0}^{\lfloor\frac{n}{2}\rfloor}{n \choose 2k}\frac{(2k)!}{k!2^k}$ is $e^{x+x^2/2}$?

Generating function for division of $n$ into smaller subsets.

Express number of ways integer can be written as coefficient in generating series

Combinations of a Multi-set with generating functions

Card game probability

Generating function for the characteristic function of primes

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