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Equality of coefficients in two formal power series of rational functions

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#combinatorics #generating-functions #products
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Differentiating the binomial theorem

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#combinatorics #generating-functions
773
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Binomial Transform and Ordinary Generating Functions

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#sequences-and-series #binomial-coefficients #generating-functions #transformation
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A nice but somewhat challenging binomial identity

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#binomial-coefficients #generating-functions
240
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Prime Counting Function - Ordinary Generating Function

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#sequences-and-series #number-theory #prime-numbers #generating-functions
59
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Solving a recurrence with two summations

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#combinatorics #recurrence-relations #generating-functions
155
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How to evaluate the following items in mathematical methods in physics?

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#sequences-and-series #indefinite-integrals #generating-functions #mathematical-physics #frobenius-method
1.2k
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Asymptotic Growth of Generalised Catalan Numbers

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#combinatorics #asymptotics #generating-functions #catalan-numbers
652
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Number of binary strings of length n where specific substrings occur more than m times in total

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#combinatorics #generating-functions #clustering #bit-strings
613
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How to get the Ln (0) from generating functions for Laguerre polynomials?

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#sequences-and-series #polynomials #generating-functions
57
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Limit of the product is infinity

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#limits #generating-functions
320
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If you roll $n$ six-sided dice what is the probability that the sum of the numbers you roll is multiple of $k$?

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#combinatorics #contest-math #generating-functions
531
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Generating function of $X+\sum\limits_{i=1}^{X}D_i$ with $X$ and every $D_i$ Poisson

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#probability-theory #generating-functions #poisson-distribution
421
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How to factor a quadratic expression into the form $(1-ax)(1-bx)$?

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#quadratics #generating-functions #factoring
153
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Asymptotic form of coefficients of a given generating function

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#real-analysis #complex-analysis #laplace-transform #generating-functions #contour-integration

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