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PGF of sum of $N$ random variables, where $N$ is a random variable itself.

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#probability #probability-theory #generating-functions #moment-generating-functions
443
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Finding the generating function to split $n$ into odd parts

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#sequences-and-series #discrete-mathematics #generating-functions
441
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Solving this generating function to find the $n$th term in the sequence

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#sequences-and-series #generating-functions
382
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Functions validity.

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#functions #generating-functions #functional-equations
349
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Probability of N unrelated events, each with different probabilities, what is the chance X number of outcomes occur

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#probability #statistics #generating-functions #finance
64
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How do I compute the generating function for this number sequence?

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#discrete-mathematics #recurrence-relations #generating-functions
2.7k
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Moment Generating Function for $r$th central moment

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#probability #probability-distributions #generating-functions #moment-generating-functions #cumulants
54
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about minimal point in non- autonomous discrete system

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#general-topology #dynamical-systems #generating-functions
50
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Can I express $\sum_{k,r} rV_rV_{k-1}x^k$ in terms of $u(x)\equiv \sum_kV_k x^k$?

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#generating-functions
135
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Estimate growth of a recurrence convolution

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#recurrence-relations #asymptotics #generating-functions #estimation
127
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Help computing this product through the laguerre polynomial generating function

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#generating-functions #orthogonal-polynomials
134
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Partition identity with generating functions

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#generating-functions #integer-partitions
1.5k
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How can I rewrite recursive function as single formula?

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#sequences-and-series #recurrence-relations #generating-functions
147
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How many positive integers from set $\{1,2...,10^{30}\}$ can't be represented as 2nd, 3rd, or 5th power of some positive integer?

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#combinatorics #discrete-mathematics #problem-solving #generating-functions #inclusion-exclusion
816
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Application of complex analysis and contour integral in generating functions

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#complex-analysis #generating-functions #contour-integration

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