Chebyshev approximations for the natural logarithm of the Gamma function
Chebyshev approximations for the natural logarithm of the Gamma function
Rational Chebyshev approximations are given for the natural logarithm of the real gamma function for arguments in the intervals <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-bracket 0.5 comma 1.5 right-bracket"> <mml:semantics> <mml:mrow> <mml:mo stretchy="false">[</mml:mo> <mml:mn>0.5</mml:mn> <mml:mo>,</mml:mo> <mml:mn>1.5</mml:mn> <mml:mo stretchy="false">]</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">[0.5,1.5]</mml:annotation> </mml:semantics> </mml:math> </inline-formula>, <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="left-bracket 1.5 comma …