Gamma Solution

<p class=ql-align-justify>                  The Gamma Function is a generalisation of the factorial for use with complex numbers. The plane of complex numbers subsumes fractions including transcendental numbers some of which have especially elegant Gamma forms.</p><p class=ql-align-justify>                  The Gamma Function has a number of applications in advanced science including quantum physics astrophysics and fluid dynamics</p><p class=ql-align-justify> </p><p class=ql-align-justify>                  An analytical and experimental study was undertaken to assess how theoretical and experimental code and performance metrics might assist the choice of published Complete Gamma Function ( CGF ) solution algorithms or inform the development of new CGF methods.</p><p class=ql-align-justify>                  Accuracy speed and component timing statistics were computed for thirteen methods or method variations and new empirical metrics proposed.</p><p class=ql-align-justify>                  Empirical metrics and component time profiles disclosed significant algorithm properties and assisted coding optimisations. Halstead metrics did not apply but code token ratios correlated with other CGF algorithm features.</p><p class=ql-align-justify>                  Further research could involve recently discovered Elliptic Laplacian or Zeta Function avenues.</p><p class=ql-align-justify><u> </u></p><p class=ql-align-justify>                  Enjoy the work and I hope you find it useful as a starting point.</p><p><br></p><p>Extensive equations and diagrams are included as well as program code in Visual Basic</p>