The purpose of Series Math Study (SMS) website is to explore and develop the beauty of series formulas that have connections to special mathematical constants. Most of the series in this website are found with completed proofs. Some series can be used to calculate ever more accurate values of some special math constants as the desire that has challenged mathematicians for many centuries.
January 1, 2010 by admin
The followings are outlines and brief notes of the series formulas that have been developed and found recently.
| February 09, 2010 |
| 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.
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are |
January 17, 2010
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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
.
| January 08, 2010 |
Two Beautiful Series in Connection with zeta 
and Pi Constants
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January 01, 2010
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For positive integer n,
, where
is 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)
Go down deep enough into anything and you will find mathematics. (Dean Schlicter)
