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Suppose $ \sum_{n=1}^{\infty} b_n x^n= \frac{x^3}{(x^4-1)^2}$. What could be an expression of $b_n$?

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#sequences-and-series #power-series #taylor-expansion #generating-functions #geometric-series
403
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What do the $x$ mean in this generating function?

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#combinatorics #generating-functions
540
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Combinatorial Species, significance and problems can be solved with it.

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#combinatorics #category-theory #generating-functions #combinatorial-species
41
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Equality of continued fraction expansions

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#calculus #combinatorics #recurrence-relations #generating-functions #continued-fractions
835
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A generating function associated with Fibonacci numbers?

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#generating-functions #fibonacci-numbers
180
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Summation of Fibonacci number multiplied by a variable

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#summation #generating-functions #fibonacci-numbers
223
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Is the ratio of consecutive Bernoulli polynomials uniformly bounded

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#power-series #generating-functions #analytic-number-theory #bernoulli-numbers
1.4k
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Why is generating function proof of Fibonacci formula correct?

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#sequences-and-series #generating-functions #fibonacci-numbers
568
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Generating Function for $a_n = n^2c^n$

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#combinatorics #generating-functions #recursion #stirling-numbers
188
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Trouble with Summation bounds

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#sequences-and-series #generating-functions #bernoulli-numbers
1.3k
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Determining the number of solutions using Generating functions

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#combinatorics #discrete-mathematics #generating-functions
262
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Am I supposed to use generating functions or combinatorics or something for this question?

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#combinatorics #discrete-mathematics #generating-functions
629
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Finding generating function or closed formula for star and bar problem where order of distribution does not matters

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#combinatorics #combinations #generating-functions
856
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Multipole expansion of Coulomb function in 2D (Laplace expansion)

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#special-functions #generating-functions #greens-function #laplace-expansion
94
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Rewriting Stirling Number generating function for non-fixed $k$

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#combinatorics #discrete-mathematics #generating-functions

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