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Asymptotic behavior of functions which are defined recursively

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#limits #convergence-divergence #recurrence-relations #asymptotics
94
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How to find limit of the sequence given by $f_{n+1}=\frac{3}{7}f_n+8$

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#sequences-and-series #limits #recurrence-relations
1.4k
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General and particular solution from recurrence equation

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#discrete-mathematics #recurrence-relations
220
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Deducing Skolem-Mahler-Lech theorem from a $p$-adic interpolation result.

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#recurrence-relations #p-adic-number-theory
95
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Given $x_m=4x_{m-1}-x_{m-2},\ x_1=1,\ x_2=3$

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#number-theory #elementary-number-theory #recurrence-relations #perfect-powers
353
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Find a recurrence relation and the Fourier-Legendre Series

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#sequences-and-series #polynomials #recurrence-relations #fourier-series #legendre-polynomials
408
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Find the Bessel Function solution of the differential equation

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#ordinary-differential-equations #recurrence-relations #bessel-functions
39
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Where does this reccurence relation come from?

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#recurrence-relations
331
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Properties of Bessel Functions

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#sequences-and-series #recurrence-relations #bessel-functions
262
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Frobenius Method

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#ordinary-differential-equations #recurrence-relations #frobenius-method
62
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Solving differential equations using series

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#sequences-and-series #ordinary-differential-equations #recurrence-relations #frobenius-method
121
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Show that the sequence $x_n=\Big[\frac32x_{n+1}\Big]$, $x_1=2$ contains an infinite set of odd numbers and an infinite set of even numbers.

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#sequences-and-series #elementary-number-theory #proof-verification #recurrence-relations
160
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Recursive sequence nth element formula

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#real-analysis #sequences-and-series #recurrence-relations
1.2k
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Let t(n) be the number of strings of n letters that can be produced by concatenating copies of the string "a", "bc", "cb" find t(3) and t(4)

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#recurrence-relations
353
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Inequality in recurrence relation

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#inequality #recurrence-relations

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