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Package fermi (in fermi.i) -

Index of documented functions or symbols:

F

fd12

fd32

fd52

fdm12

fermi

I

ifd12

ifd32

ifd52

ifdm12

fd12

DOCUMENT fd12(x)
  return Fermi-Dirac integral of order 1/2,
     fd12(x) = integral[0 to inf]{ dt * t^0.5 / (exp(t-x)+1) }
  accurate to about 1e-12

SEE ALSO: fdm12, fd32, fd52, ifdm12, ifd12, ifd32, ifd52

fd32

DOCUMENT fd32(x)
  return Fermi-Dirac integral of order 3/2,
     fd32(x) = integral[0 to inf]{ dt * t^1.5 / (exp(t-x)+1) }
  accurate to about 1e-12

SEE ALSO: fdm12, fd12, fd52, ifdm12, ifd12, ifd32, ifd52

fd52

DOCUMENT fd52(x)
  return Fermi-Dirac integral of order 5/2,
     fd52(x) = integral[0 to inf]{ dt * t^2.5 / (exp(t-x)+1) }
  accurate to about 1e-12

SEE ALSO: fdm12, fd12, fd32, ifdm12, ifd12, ifd32, ifd52

fdm12

DOCUMENT fdm12(x)
  return Fermi-Dirac integral of order -1/2,
     fdm12(x) = integral[0 to inf]{ dt * t^-0.5 / (exp(t-x)+1) }
  accurate to about 1e-12

SEE ALSO: fd12, fd32, fd52, ifdm12, ifd12, ifd32, ifd52

fermi

DOCUMENT #include "fermi.i"
  Fermi-Dirac integrals and inverses of orders -1/2, 1/2, 3/2, 5/2

  Antia, H. M., Aph.J. 84, p.101-108 (1993)

SEE ALSO: fdm12, fd12, fd32, fd52, ifdm12, ifd12, ifd32, ifd52

ifd12

DOCUMENT ifd12(y)
  return x = inverse of Fermi-Dirac integral of order 1/2,
     y = integral[0 to inf]{ dt * t^0.5 / (exp(t-x)+1) }
  accurate to about 1e-8

SEE ALSO: ifdm12, ifd32, ifd52, fdm12, fd12, fd32, fd52

ifd32

DOCUMENT ifd32(y)
  return x = inverse of Fermi-Dirac integral of order 3/2,
     y = integral[0 to inf]{ dt * t^1.5 / (exp(t-x)+1) }
  accurate to about 1e-8

SEE ALSO: ifdm12, ifd12, ifd52, fdm12, fd12, fd32, fd52

ifd52

DOCUMENT ifd52(y)
  return x = inverse of Fermi-Dirac integral of order 5/2,
     y = integral[0 to inf]{ dt * t^2.5 / (exp(t-x)+1) }
  accurate to about 1e-8

SEE ALSO: ifdm12, ifd12, ifd32, fdm12, fd12, fd32, fd52

ifdm12

DOCUMENT ifdm12(y)
  return x = inverse of Fermi-Dirac integral of order -1/2,
     y = integral[0 to inf]{ dt * t^-0.5 / (exp(t-x)+1) }
  accurate to about 1e-8

SEE ALSO: ifd12, ifd32, ifd52, fdm12, fd12, fd32, fd52