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Expressing a recursively defined function in terms of factorials or gamma function

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#discrete-mathematics #recurrence-relations #functional-equations #factorial #closed-form
135
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Elementary Proof of sum of alternating factorials

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#sequences-and-series #induction #recurrence-relations #gamma-function #finite-differences
53
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Question about finite sums and integer recursions.

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#number-theory #summation #asymptotics #recurrence-relations
196
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Initial values are lost (diff eq to Transfer function)?

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#ordinary-differential-equations #recurrence-relations #laplace-transform
1.2k
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Solving recurrence relation: Product form

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#linear-algebra #sequences-and-series #algorithms #recurrence-relations #recursive-algorithms
1.6k
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Sum of infinite series defined recursively

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#sequences-and-series #recurrence-relations
123
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Is it possible to calculate the roots of the difference between successive terms of this polynomial series $\rm{P}_n (x)=x\rm{P}_{n-1}-r\rm{P}_{n-2}$

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#polynomials #recurrence-relations #roots #chebyshev-polynomials
12.8k
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Find all solutions of the recurrence relation $a_n = 5a_{n-1} - 6a_{n-2} + 2^n + 3n$

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#discrete-mathematics #recurrence-relations
368
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Why do we use the term "equivalent" with Operators but "equal" with Functions?

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#abstract-algebra #functions #terminology #equivalence-relations #recurrence-relations
641
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Limit of a Discrete Dynamical System

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#dynamical-systems #recurrence-relations
128
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Fibonaaci Recurrence

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#graph-theory #algorithms #recurrence-relations #fibonacci-numbers #recursive-algorithms
79
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common terms problem

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#sequences-and-series #recurrence-relations
59
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Initial values appear from nothing

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#recurrence-relations #generating-functions #fibonacci-numbers #z-transform
3.3k
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Finding general formula for a recursion function

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#sequences-and-series #recurrence-relations #recursion
71
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Linear recurrence relation in Cantor-like sets

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#recurrence-relations

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