Main SMS (2012)
| December 30, 2012 |
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A Special Series Involving Gamma Function
We found a new special series formula in connect with Gamma function Γ(x). For real x,
where 36x3k3 - 7xk ± 1 ≠ 0, k = 1,2,3, ... .
It may be rewritten in the form
where x < -1/2 or x > 1/2.
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| August 02, 2012 |
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A Special Series
where
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| July 29, 2012 |
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Some Special Series
where
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| June 2, 2012 |
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A Closed Form of Special Value of Gamma Function
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| May 20, 2012 |
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A Special Limit Expression Involving Gamma Function
where x is real.
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| January 05, 2012 |
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New Formula of Gamma function Approximation The Gamma function approximation gives a high level of accuracy for real x,
Notes 1. the natural logarithm of the Gamma function on the left hand side. 2. In mathematics, the Gamma function is an important function that many other special functions depend on. If the closed-form of Gamma function is found, the chance of resolving the Riemann hypothesis is very high. Unfortunately, its existence is still not known.
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,
,
,
is the digamma function that is defined
.
.
.
, where
is the 
,
, 
and 
are the 
, where m is a positive integer.
, 