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Recurrence and recursion relationships

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#recursion #recurrence-relations
183
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Problem solving recurrence equation for $a_n = a_{n-1} + 2a_{n-2}, \,\,\, a_0=a_1=1$

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#recurrence-relations #generating-functions
12.6k
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Solve $T(n) = 3T(n/4) + n$ with iteration technique only

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#algorithms #recurrence-relations #asymptotics
153
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Explicit formula for crossed recursion

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#sequences-and-series #recurrence-relations #recursion
735
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Recurrence relations for the generalized Laguerre polynomials

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#recurrence-relations #special-functions #orthogonal-polynomials
2.5k
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How to solve this recurrence relation - $T(n) = (2^n)T(n/2) + n^n$

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#algorithms #recurrence-relations
78
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Filter on set recursive definition.

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#recurrence-relations #recursion #recursive-algorithms
386
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Solving a system of linear equations with undefined number of equations

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#linear-algebra #recurrence-relations #systems-of-equations #markov-chains
33
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Recurrence function / induction

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#recurrence-relations
306
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Non-Homogeneous Recurrence Relation - Particular solution

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#discrete-mathematics #recurrence-relations
212
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Finding a closed form for $f(n)=f(n-1)-9f(n-2)+9f(n-3)+5$ (with complex numbers)

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#sequences-and-series #complex-numbers #recurrence-relations
1.1k
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Finding particular solution to recurrence relation

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#discrete-mathematics #recurrence-relations
817
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Does this recurrence have a closed form limit $x_{n+1}=x_n-\frac{a}{3^{2n+1}x_n}$?

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#sequences-and-series #recurrence-relations #asymptotics
174
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Which entire functions $h(z)$ can be written as $h(z)=f(z+1)-f(z)$ for some entire function $f$?

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#sequences-and-series #complex-analysis #recurrence-relations #entire-functions
56
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How do I get the closed form of this recurrence using generating functions?

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#sequences-and-series #number-theory #recurrence-relations #generating-functions

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