List questions from generating-functions

Published on 08 Apr 2016 - 1:34

149

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Show that the following Legendre polynomials are equal

Published on 27 Mar 2026 - 1:44

41

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Functions that make a set of functions based on given conditions

Published on 08 Apr 2016 - 20:28

67

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Number of subsets $S$ of $[n]$ such that $\gcd(S)$ is coprime to $m$

Published on 10 Apr 2016 - 2:32

75

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Finding the Generating Function given a Complex Recurrence

Published on 10 Apr 2016 - 4:00

185

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Is there a closed form expression for this sum involving Stirling number of second kind

Published on 10 Apr 2016 - 8:01

91

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Number of solutions of $x_1+2\cdot x_2+2\cdot x_3 = n$

Published on 11 Apr 2016 - 5:19

102

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Evaluate the sum $S=\sum_{k=0}^{n} \frac{(-1)^k}{k+1} {n \choose k}$

Published on 11 Apr 2016 - 18:56

873

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Generating function for the partition function

Published on 08 Apr 2026 - 13:13

1.4k

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Bernoulli Numbers and Tangent numbers.

Published on 12 Apr 2016 - 22:35

893

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Giving a method for generating random numbers with a cumulative distribution function

Published on 13 Apr 2016 - 6:33

396

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Closed Form Solution to Exponential Recursion

Published on 04 Apr 2026 - 4:33

111

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Closed form solution for generating function

Published on 08 Apr 2026 - 17:16

367

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Integral of Legendre Polynomial

Published on 27 Mar 2026 - 1:50

275

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Taylor series for $(x^n + x^m + 1)^s$

Published on 17 Apr 2016 - 5:55

List Question

Find an egf for $\sum^{n}_{k=0} \binom{n}{k}$

Show that the following Legendre polynomials are equal

Functions that make a set of functions based on given conditions

Number of subsets $S$ of $[n]$ such that $\gcd(S)$ is coprime to $m$

Finding the Generating Function given a Complex Recurrence

Is there a closed form expression for this sum involving Stirling number of second kind

Number of solutions of $x_1+2\cdot x_2+2\cdot x_3 = n$

Evaluate the sum $S=\sum_{k=0}^{n} \frac{(-1)^k}{k+1} {n \choose k}$

Generating function for the partition function

Bernoulli Numbers and Tangent numbers.

Giving a method for generating random numbers with a cumulative distribution function

Closed Form Solution to Exponential Recursion

Closed form solution for generating function

Integral of Legendre Polynomial

Taylor series for $(x^n + x^m + 1)^s$

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