Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, 1/2 and 3/2
Rational Chebyshev approximations for Fermi-Dirac integrals of orders -1/2, 1/2 and 3/2
Rational Chebyshev approximations are given for the complete Fermi-Dirac integrals of orders <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="negative one half"> <mml:semantics> <mml:mrow> <mml:mo>−<!-- − --></mml:mo> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:mrow> <mml:annotation encoding="application/x-tex">- \frac {1} {2}</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="one half"> <mml:semantics> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> <mml:annotation encoding="application/x-tex">\frac {1} …