Question

How to evaluate $s_\lambda(q,q^2,\cdots,q^m)$? (principal specialisation of the schur function)

score 116 · Answer 1 · 2026-04-14 11:35:50

116

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How to evaluate $s_\lambda(q,q^2,\cdots,q^m)$? (principal specialisation of the schur function)

Published on 14 Apr 2026 - 11:35

score 45 · Answer 2 · 2026-04-10 10:54:15

45

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Generating function for recurrence with dependence between indices for paths in lattice

Published on 10 Apr 2026 - 10:54

score 111 · Answer 3 · 2026-04-15 21:44:23

111

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Estimating alternating sum of product of binomial coefficients $\sum_{i=0}^{k-1} \binom{n}{m+i} \binom{m+i}{k} \binom{k-1}{i} (-1)^i$

Published on 15 Apr 2026 - 21:44

score 79 · Answer 4 · 2026-04-15 00:43:03

79

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Closed form of $\sum_{n=1}^{\infty} \frac{a^n}{n(n+1)}$

Published on 15 Apr 2026 - 0:43

score 104 · Answer 5 · 2026-04-12 12:43:25

104

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Reference request for an identity involving Catalan numbers

Published on 12 Apr 2026 - 12:43

score 83 · Answer 6 · 2026-04-12 04:27:38

83

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Divergent Power Series

Published on 12 Apr 2026 - 4:27

score 83 · Answer 7 · 2026-04-16 08:17:14

83

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Evaluating the sum $\sum_{n=1}^{\infty} \frac{x \sin x}{\sqrt{1+n^2} (1+n x^2)}$

Published on 16 Apr 2026 - 8:17

score 123 · Answer 8 · 2026-04-08 19:36:01

123

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Finding the Explicit Formula of a Recursion Using Generating Functions

Published on 08 Apr 2026 - 19:36

score 91 · Answer 9 · 2026-04-10 13:52:11

91

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Counting solutions to equation with coefficients

Published on 10 Apr 2026 - 13:52

score 52 · Answer 10 · 2026-04-17 10:31:15

52

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Showing the coefficients of the product of polynomials $p(r^n x)p(r^{n-1}x)\cdots p(rx)$ are bounded when $0<r<1$.

Published on 17 Apr 2026 - 10:31

score 234 · Answer 11 · 2026-04-10 19:24:24

234

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Generating Function of 'Vandermonde Identity' Like Coefficients?

Published on 10 Apr 2026 - 19:24

score 77 · Answer 12 · 2026-04-17 13:44:16

77

Views

Prove that if $a_0 = 1$ and $a_n = n^2 a_{n-1} + n!^2$, then $a_n = n! (n+1)!$ using generating functions

Published on 17 Apr 2026 - 13:44

score 1.4k · Answer 13 · 2026-04-10 19:49:09

1.4k

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How to prove generating function of legendre polynomials? What am I doing wrong?

Published on 10 Apr 2026 - 19:49

score 52 · Answer 14 · 2026-04-16 02:10:21

52

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xD log method for B(x)=A(x)^k from generatingfunctionology - How to compare coefficients?

Published on 16 Apr 2026 - 2:10

score 79 · Answer 15 · 2026-04-09 08:27:40

79

Views

How to simplify the finite continued fraction?

Published on 09 Apr 2026 - 8:27

List Question

How to evaluate $s_\lambda(q,q^2,\cdots,q^m)$? (principal specialisation of the schur function)

Generating function for recurrence with dependence between indices for paths in lattice

Estimating alternating sum of product of binomial coefficients $\sum_{i=0}^{k-1} \binom{n}{m+i} \binom{m+i}{k} \binom{k-1}{i} (-1)^i$

Closed form of $\sum_{n=1}^{\infty} \frac{a^n}{n(n+1)}$

Reference request for an identity involving Catalan numbers

Divergent Power Series

Evaluating the sum $\sum_{n=1}^{\infty} \frac{x \sin x}{\sqrt{1+n^2} (1+n x^2)}$

Finding the Explicit Formula of a Recursion Using Generating Functions

Counting solutions to equation with coefficients

Showing the coefficients of the product of polynomials $p(r^n x)p(r^{n-1}x)\cdots p(rx)$ are bounded when $0<r<1$.

Generating Function of 'Vandermonde Identity' Like Coefficients?

Prove that if $a_0 = 1$ and $a_n = n^2 a_{n-1} + n!^2$, then $a_n = n! (n+1)!$ using generating functions

How to prove generating function of legendre polynomials? What am I doing wrong?

xD log method for B(x)=A(x)^k from generatingfunctionology - How to compare coefficients?

How to simplify the finite continued fraction?

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