Module rgsl::debye [−] [src]

The Debye functions D_n(x) are defined by the following integral,

D_n(x) = n/xⁿ \int_0^x dt (t^{n/(e^t} - 1))

For further information see Abramowitz & Stegun, Section 27.1.

Functions

_1	This routine computes the first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1)).
_2	This routine computes the second-order Debye function D_2(x) = (2/x²⁾ \int_0^x dt (t^{2/(e^t} - 1)).
_3	This routine computes the third-order Debye function D_3(x) = (3/x³⁾ \int_0^x dt (t^{3/(e^t} - 1)).
_4	This routine computes the fourth-order Debye function D_4(x) = (4/x⁴⁾ \int_0^x dt (t^{4/(e^t} - 1)).
_5	This routine computes the fifth-order Debye function D_5(x) = (5/x⁵⁾ \int_0^x dt (t^{5/(e^t} - 1)).
_6	This routine computes the sixth-order Debye function D_6(x) = (6/x⁶⁾ \int_0^x dt (t^{6/(e^t} - 1)).
_1_e	This routine computes the first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1)).
_2_e	This routine computes the second-order Debye function D_2(x) = (2/x²⁾ \int_0^x dt (t^{2/(e^t} - 1)).
_3_e	This routine computes the third-order Debye function D_3(x) = (3/x³⁾ \int_0^x dt (t^{3/(e^t} - 1)).
_4_e	This routine computes the fourth-order Debye function D_4(x) = (4/x⁴⁾ \int_0^x dt (t^{4/(e^t} - 1)).
_5_e	This routine computes the fifth-order Debye function D_5(x) = (5/x⁵⁾ \int_0^x dt (t^{5/(e^t} - 1)).
_6_e	This routine computes the sixth-order Debye function D_6(x) = (6/x⁶⁾ \int_0^x dt (t^{6/(e^t} - 1)).