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How to solve this particular difference equations?

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#ordinary-differential-equations #recurrence-relations #delay-differential-equations
1.9k
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Derangement recurrence $D(n) = nD(n-1) + (-1)^n$

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#combinatorics #permutations #recurrence-relations #derangements
102
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How to find recurrence for $f(x)$ coefficient in the expression $f(x)\cdot(1+2x+2x^2+x^3)=\frac{1}{1-x^3}$ using generating functions?

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#combinatorics #recurrence-relations #generating-functions
131
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A better way to solve non-homogeneous linear recurrences?

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#discrete-mathematics #recurrence-relations #generating-functions
162
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For $n, m \ge 0, n+m\ge 2$, evaluate $W_{m, n} =\sum_{k=1}^{\infty} \frac{1}{(k+1)^mk^{n}} $.

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#summation #recurrence-relations #riemann-zeta
1.2k
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Recursive formula for finding ways to spend x amount of money on y items

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#sequences-and-series #recurrence-relations
29
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Can this function be described by an easily computed recurrence?

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#number-theory #modular-arithmetic #recurrence-relations
64
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fundamental matrix solution for difference equation

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#recurrence-relations #transition-matrix #discrete-calculus
2.1k
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Solving Recurrence Relation for Series Solution of an ODE

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#sequences-and-series #ordinary-differential-equations #recurrence-relations #power-series
93
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Please help us to find the general solution of this recurrence: $x_{n+1}=5^{n-1} x_n+3^n$

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#recurrence-relations
135
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How to derive the explicit formula for 2-dimensional recurrence relation $ f(m,n)$?

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#linear-algebra #combinatorics #matrices #functions #recurrence-relations
49
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Generating function from a summation relation

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#recurrence-relations #generating-functions
44
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2-order difference equation as a system of 1-order difference equations

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#linear-algebra #recurrence-relations #systems-of-equations #dynamical-systems
553
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Solving linear homogeneous recurrence with non-constant coefficients using exponential generating function.

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#combinatorics #discrete-mathematics #recurrence-relations #generating-functions
214
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Recursive successions limit.

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#calculus #real-analysis #limits #recurrence-relations

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