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15
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Markov Chain Question using probability generating function

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#probability-theory #markov-chains #generating-functions #markov-process
43
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Significance of two trigonometric function in theory of numbers:

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#generating-functions #analytic-number-theory #elliptic-curves #riemann-zeta
62
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Closed form for $\sum_{k=a}^b{n \choose k}{k \choose r}$

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#binomial-coefficients #generating-functions
122
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Extension of Malo's theorem

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#real-analysis #complex-analysis #polynomials #generating-functions #analytic-functions
115
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Three-variable generating series for strings

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#combinatorics #generating-functions
175
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Probability of getting certain number of points

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#probability #combinatorics #generating-functions #dynamic-programming
143
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How to calculate the generating function of the unified harmonic sum $U(\sigma,n,p) = \sum_{k=1}^n \frac{\sigma^k}{k^p}$?

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#integration #generating-functions #harmonic-numbers
800
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Create a generating function for a baskets with fruits

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#combinatorics #discrete-mathematics #generating-functions
56
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Exponential generating function for distinctive urns and balls

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#combinatorics #exponential-function #combinations #generating-functions
100
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coefficient of bivariate generating functions

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#combinatorics #generating-functions
233
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Counting Solutions to $x_1 + x_2 + \dots + x_k = n$ with $x_i \leq r$ Closed Form

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#combinatorics #binomial-coefficients #generating-functions #integer-partitions
305
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Is the closed form for $\sum_{k=1}^\infty\frac{\overline{H}_k}{k^m}$ known in the literature?

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#integration #sequences-and-series #generating-functions #harmonic-numbers #polygamma
216
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A generating function for a non-homogeneous linear Diophantine equation

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#combinatorics #generating-functions #linear-diophantine-equations
134
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“Two-dimensional” Catalan numbers?

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#combinatorics #generating-functions #formal-languages #context-free-grammar #catalan-numbers
1.1k
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Number of binary strings of length n that do not contain a particular substring?

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#combinatorics #discrete-mathematics #generating-functions

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