November 20th, 2009, 07:23 AM  #1 
Newbie Joined: Nov 2009 Posts: 1 Thanks: 0  Generalizing a recursive series
Hey there, This one's been bugging me for a while: When introduced to a recursive series and a starting value is given, I could successfully point out the limit (if there is one) of that series. But if I'm requested to analyze the following generalized series: (alpha, x are nonnegative values) in which I'm asked to define to which values it will be a convergent series, and from those values to calculate its limits. Usually in nongeneralized form I don't find much difficulties. But here I can't find a good starting point from which I can derive any conclusions. I'd appreciate any kind of help to sort this one out. Thanks in advance. 
November 20th, 2009, 08:39 AM  #2 
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  Re: Generalizing a recursive series
They will in general be doublyexponential. See Aho and Sloane 1970, which Dr. Sloane has on his website: http://www.research.att.com/~njas/doc/doubly.html 

Tags 
generalizing, recursive, series 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Help on Recursive Functions?  loveinla  Algebra  0  March 12th, 2013 10:55 AM 
Recursive to nonrecursive  philip  Algebra  4  December 27th, 2011 11:23 AM 
recursive definitions  lamhmh  Applied Math  7  July 14th, 2011 08:46 AM 
Set Recursive Definitions  jstarks4444  Applied Math  2  March 12th, 2011 05:44 AM 
Set Recursive Definitions  jstarks4444  Number Theory  0  December 31st, 1969 04:00 PM 