| 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,
The formula can 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
where m is a positive integer.
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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 formula below provides an approximation of the Gamma function, offering a high degree of accuracy for real values of
Notes 1. The left-hand side represents the natural logarithm of the Gamma function. 2. In mathematics, the Gamma function is crucial as many other special functions depend on it. Discovering a closed-form solution for the Gamma function would significantly enhance the chances of resolving the Riemann Hypothesis. Unfortunately, such a closed form remains unknown. |
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|
.
,
,
is the digamma function, which is defined as
.
.
.
, where
is the 
,
, 
and 
are the 
, 
, 
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