Main SMS (2009)
We work on exploring and developing math series. Each time a series or a group of series has been developed completely, it is posted on this website. Below are the patterns of some series listed in date order. More related series can be found in the Series Outline section, which consists of Random Series and Series Summary. Random Series is a place where it keeps all math series without classifying to a specific type. Series Summary is a SMS's part in which it keeps the math series in relation to the dates posted on this website.
| December 20, 2009 |
Infinite Series in Connection with Pi Constant
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| November 26, 2009 (Happy Thanksgiving) |
Finite Series in Connection with Apéry, Pi Constants
The n-th partial sum below is expressed in terms of Hurwitz zeta function for each positive integer n.
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where
, s and a are complex variables.
| November 07, 2009 |
Finite Series Are Expressed in Terms of n-th Partial Sum of Hurwitz Zeta Function
For real x and each positive integer n,
, x ≠ - k, - (k+1).
This finite series is defined in the Hurwitz zeta function form. Read more >>
| October 25, 2009 |
Finite Series in General Form
For real x ≠ 0 and each positive integer n,
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| September 26, 2009 |
50 Identities of Power Summation (Update)
| July 8, 2009 |
A Family of Finite BBP-Type Series in the Base of 729
.| July 1, 2009 |
Some BBP-Type Series for Computing Pi (Update)
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| June 14, 2009 |
, is found in the closed-form.
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| April 12, 2009 and May 3, 2009 |
Some Finite Series Found in Closed-Form
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| April 9, 2009 |
.| My fellow Americans: ask not what your country can do for you - ask what you can do for your country. | |
| John F. Kennedy |