Skip to main content

Reply to comment

Main SMS (2010)

The followings are outlines and brief notes of the series formulas that have been developed and found recently.
 
July 03, 2010

Sums in which the Square Root of Two and Other Constants Appear are Given by 

 

 

June 27, 2010
A Surprising Sum in whichAppears is Given by 

.

 

April 18, 2010
Some Special Infinite Series
  • .

 

  • .

 

  •   .

More >>

 

February 09, 2010
 Sums of Reciprocals of Two-Term Squares Table

 

More >>

  Sums of Reciprocals of Two-Term Cubes Table

More >>

 

January 30, 2010

Series in Limit Form

Given n is a positive integer.  The limits of the following series are found in a closed form as n tends to infinity.

  • .

  • .

 

  •  ,

where e, andare special mathematical constants.
(Click here to view large size.)

 

January 17, 2010

Sequences and Series Art -- A Generic Infinite Series Found Linking Three Special Sequences '2, 30, 420, ...', '15, 209, 2911, ...', and '17, 241, 3361, ...' with the Constant

For any positive integer

,

where

,

,

and  

.

More >>

 

 
January 08, 2010
Two Beautiful Series in Connection with zeta and Pi Constants 
  • .

  • .

 

January 01, 2010

A Curious Series in Connection with Euler-Mascheroni, Pi Constants 

For positive integer n,

, whereis Euler-Mascheroni constant.

The above series can be transformed into another form, namely

.

 

Another curious series is found in connection to Pi

.

 

(Happy New Year 2010)

 

Next >>


Go down deep enough into anything and you will find mathematics. (Dean Schlicter

Reply

CAPTCHA
This question is for testing whether you are a human visitor and to prevent automated spam submissions.
Image CAPTCHA
Enter the characters shown in the image.