Example: The Gamma Function


The example below demonstrates how to use the gamma function.


Example

Find the gamma and the ln | gamma | of 0.5, -44.9, and 71.

Procedure

Press

Display


Select the program. [ RUN ] { MTH }
{ GAM }
D_1L3NbT
Calculate for each value .5 { G } D_UOjOCB
.5 { lnG } D_EinEgU
44.9 [ +/- ]
{ G }
D_UVQsVk
44.9 [ +/- ]
{ lnG }
D_YqO1Of
71 { G } D_CT8PEA

You can use the ln | gamma | to calculate gamma. The mantissa of gamma of 71 is:

Antilog( Frac( 230.4390436 / ln10 ) )

and the exponent of scientific notation for gamma is:

Intg( 230.4390436 / ln10 ) )

You can use this method to show that the gamma of 71 is 1.197857167 × 10100


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