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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.  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.

Main SMS (2012)

Brief Notice - This website is going to be temporarily closed to reserve for improvement, and this work probably takes long.  We apologize for not sharing series formulas regularly.
 
 


 
January 05, 2012

New Formula of Gamma function Approximation

The new formula of Gamma function approximation for real x has been found in which it provides a high level of accuracy.

(Note the natural logarithm of the Gamma function on the left hand side.)

View this formula in MathML for XHTML editing

 

 
 
 
 
 
 
 
 
 

I do not know how and when the numbers are created.   I only know that numbers are already made available in the structures of nature in which each set number being associated with a structure represents a cold beauty in such a way that has been profoundly designed and eternally engraved in timeless patterns. (T.V.