List questions from generating-functions

Published on 08 Apr 2026 - 19:16

257

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How can I show that $\frac{\exp\left({-\frac{tx}{1-t}}\right)}{1-t}$ is the generating function for the Laguerre polynomials

Published on 27 Mar 2026 - 5:38

271

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Generating functions and finding coefficient of $x^{3n}$

Published on 11 Apr 2026 - 3:18

115

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The importance of generating series

Published on 08 Apr 2026 - 17:43

1.1k

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Generating Functions in Discrete Mathematics in Computer Science

Published on 11 Apr 2026 - 14:59

33

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Proving that $E_g(x)=E_f(x)^2$

Published on 12 Sep 2013 - 4:08

93

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Asymptotic coefﬁcients of generating function $\frac{F(z)}{G(z)}$

Published on 12 Sep 2013 - 4:27

83

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Find generating function of given problem?

Published on 13 Sep 2013 - 11:20

716

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Green' s function for harmonic oscillator

Published on 25 Mar 2026 - 12:13

69

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Finding sequence that's defined by a recurrence relation

Published on 18 Sep 2013 - 1:42

137

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Generating Functions for $a_n:n=i_1+i_2+i_3+i_4$

Published on 18 Sep 2013 - 2:11

935

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Find the explicit formula for the sequence $a_n$ that's defined by recurrence relation $a_{n+2}=a_{n+1}+2a_n$ and $a_0=a_1=1$

Published on 18 Sep 2013 - 2:17

12.5k

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How to prove this generating function of Legendre polynomials?

Published on 10 Apr 2026 - 17:02

695

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How to extract coefficient of $x^n$ in an infinite product generating function?

Published on 08 Apr 2026 - 16:51

93

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Explain why $\sum\limits_{k=0}^\infty k^2\cdot x^k=-\frac{x(x+1)}{(x-1)^3}$

Published on 19 Sep 2013 - 9:43

List Question

multivariable generating function

How can I show that $\frac{\exp\left({-\frac{tx}{1-t}}\right)}{1-t}$ is the generating function for the Laguerre polynomials

Generating functions and finding coefficient of $x^{3n}$

The importance of generating series

Generating Functions in Discrete Mathematics in Computer Science

Proving that $E_g(x)=E_f(x)^2$

Asymptotic coefﬁcients of generating function $\frac{F(z)}{G(z)}$

Find generating function of given problem?

Green' s function for harmonic oscillator

Finding sequence that's defined by a recurrence relation

Generating Functions for $a_n:n=i_1+i_2+i_3+i_4$

Find the explicit formula for the sequence $a_n$ that's defined by recurrence relation $a_{n+2}=a_{n+1}+2a_n$ and $a_0=a_1=1$

How to prove this generating function of Legendre polynomials?

How to extract coefficient of $x^n$ in an infinite product generating function?

Explain why $\sum\limits_{k=0}^\infty k^2\cdot x^k=-\frac{x(x+1)}{(x-1)^3}$

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