User Name Remember Me? Password

 Real Analysis Real Analysis Math Forum

 April 11th, 2015, 10:39 PM #1 Senior Member   Joined: Apr 2013 Posts: 425 Thanks: 24 Recurrence equation Hello! Solve the recurrence equation $\displaystyle a'_{n}-a_{n-1}+n^2-2n=0$. April 11th, 2015, 11:58 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,929 Thanks: 2205 What does $a'_{n}$ mean? April 12th, 2015, 06:20 AM   #3
Senior Member

Joined: Apr 2013

Posts: 425
Thanks: 24

Quote:
 Originally Posted by skipjack What does $a'_{n}$ mean?
First derivative of $\displaystyle a_{n}$ April 12th, 2015, 07:04 AM #4 Global Moderator   Joined: Dec 2006 Posts: 20,929 Thanks: 2205 First derivative with respect to what? April 12th, 2015, 08:16 PM   #5
Senior Member

Joined: Apr 2013

Posts: 425
Thanks: 24

Quote:
 Originally Posted by skipjack First derivative with respect to what?
$\displaystyle a_{n}=f(n)$ and so $\displaystyle a'_{n}=f'(n)$. April 13th, 2015, 05:57 AM #6 Global Moderator   Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms A priori, f(n) is discrete and has no derivative. April 13th, 2015, 11:04 AM #7 Math Team   Joined: Apr 2010 Posts: 2,780 Thanks: 361 Maybe this definition of a derivate was intended: Arithmetic derivative - OeisWiki April 13th, 2015, 07:07 PM #8 Global Moderator   Joined: Dec 2006 Posts: 20,929 Thanks: 2205 If $a_n$ has to be a polynomial, $a_n = n^2 + 2n + 3$ and $a'_n = 2n + 2$, the equation is satisfied. April 13th, 2015, 08:00 PM   #9
Senior Member

Joined: Apr 2013

Posts: 425
Thanks: 24

Quote:
 Originally Posted by skipjack If $a_n$ has to be a polynomial, $a_n = n^2 + 2n + 3$ and $a'_n = 2n + 2$, the equation is satisfied.
Correctly!There are other expressions for $\displaystyle a_{n}$? Tags equation, recurrence Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post Cloud8 Real Analysis 7 April 6th, 2015 09:51 AM One Real Analysis 2 June 17th, 2013 01:20 PM Oscarmovies Computer Science 2 March 1st, 2013 10:54 PM mathbalarka Algebra 2 July 7th, 2012 11:43 PM CarpeNoctum Computer Science 3 October 12th, 2010 02:08 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top

Copyright © 2019 My Math Forum. All rights reserved.       