diff --git a/README.md b/README.md index ab8ccb0..1a4feea 100644 --- a/README.md +++ b/README.md @@ -10,8 +10,8 @@ gamma_f77

-gamma_f77 implements the real-valued Gamma function in quadruple-precision using -the classic `Fortran77` language. +`ckormanyos/gamma_f77` implements the real-valued Gamma function +in quadruple-precision using the classic `Fortran77` language. ## Mathematical Background @@ -48,6 +48,8 @@ near the origin $$ \frac{1}{\Gamma(z)}\approx \sum_{k=1}^{n} a^{k} z^{k}\text{.}$$ +Let's look at some background information. + In the subroutine `GAMMA` in Sect. 3.1.5 on pages 49-50 of [1], the coefficients $a_{k}$ are given to $26$ terms. These are used in a series calculation of $\Gamma\left(x\right)$ for real-valued $x$ @@ -61,7 +63,7 @@ See also for brief mathematical insight into the fascinating series expansion of the reciprocal of the gamma function near the origin. -## Quadruple-Precision Implementation +## Expanded Quadruple-Precision Implementation In this repository, the series calculation mentioned above has been extended to quadruple-precision.