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15
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Explicit expression for coefficients of arbitrary integer powers of power series?

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#recurrence-relations #power-series #taylor-expansion #generating-functions
281
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Exponential Generating Function for certain trees

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#combinatorics #generating-functions #trees
263
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Flajolet and Sedgewick generating function for Hertzsprung Problem

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#combinatorics #generating-functions
1k
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Proving that odd partitions and distinct partitions are equal

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#sequences-and-series #generating-functions #infinite-product #integer-partitions #q-series
520
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Why the Euler Transformation converges more quickly?

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#sequences-and-series #combinatorics #numerical-methods #generating-functions
38
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OGF of the numerator

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#generating-functions
86
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What is $\sum_{n} |S_{1} (n,k)| x^{n} $?

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#combinatorics #generating-functions #stirling-numbers
63
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Solving recurrence using Integrals and Mellin transforms

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#recurrence-relations #indefinite-integrals #generating-functions #alternative-proof #mellin-transform
130
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Is there a closed form of $\sum_{k=1}^{n} \frac{|S_{1}(n,k)|}{k!}z^{k} $?

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#combinatorics #generating-functions #closed-form #stirling-numbers
162
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Combinatorial Summation

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#combinatorics #summation #binomial-coefficients #generating-functions #binomial-theorem
115
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Finding an integral using Bernoulli Numbers exponential generating function

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#calculus #generating-functions #gamma-function #riemann-zeta #bernoulli-numbers
138
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A combinatorial sum via generating series?

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#combinatorics #summation #binomial-coefficients #generating-functions
397
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recurrence relation - how to solve using generating functions

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#recurrence-relations #generating-functions
124
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Closed form of $\sum_{n=0}^{\infty} \frac{n^k}{2^n}$

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#calculus #summation #generating-functions
233
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Prove that $\prod_{i\geq 1}\frac{1}{1-xy^{2i-1}} = \sum_{n\geq 0} \frac{(xy)^{n}}{\prod_{i=1}^{n}\left( 1-y^{2i} \right)}.$

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#discrete-mathematics #generating-functions #integer-partitions

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