Module rgsl::exponential_integrals [−][src]
Functions
Chi | This routine computes the integral Chi(x) := \Re[ \gamma_E + \log(x) + \int_0^x dt (\cosh(t)-1)/t] , where \gamma_E is the Euler constant (available as the macro M_EULER). |
Chi_e | This routine computes the integral Chi(x) := \Re[ \gamma_E + \log(x) + \int_0^x dt (\cosh(t)-1)/t] , where \gamma_E is the Euler constant (available as the macro M_EULER). |
Ci | This routine computes the Cosine integral Ci(x) = -\int_x^\infty dt \cos(t)/t for x > 0. |
Ci_e | This routine computes the Cosine integral Ci(x) = -\int_x^\infty dt \cos(t)/t for x > 0. |
E1 | This routine computes the exponential integral E_1(x), |
E1_e | This routine computes the exponential integral E_1(x), |
E2 | This routine computes the second-order exponential integral E_2(x), |
E2_e | This routine computes the second-order exponential integral E_2(x), |
Ei | This routine computes the exponential integral Ei(x), |
Ei_e | This routine computes the exponential integral Ei(x), |
En | This routine computes the exponential integral E_n(x) of order n, |
En_e | This routine computes the exponential integral E_n(x) of order n, |
Shi | This routine computes the integral Shi(x) = \int_0^x dt \sinh(t)/t. |
Shi_e | This routine computes the integral Shi(x) = \int_0^x dt \sinh(t)/t. |
Si | This routine computes the Sine integral Si(x) = \int_0^x dt \sin(t)/t. |
Si_e | This routine computes the Sine integral Si(x) = \int_0^x dt \sin(t)/t. |
_3 | This routine computes the third-order exponential integral Ei_3(x) = \int_0^xdt \exp(-t^3) for x >= 0. |
_3_e | This routine computes the third-order exponential integral Ei_3(x) = \int_0^xdt \exp(-t^3) for x >= 0. |
atanint | This routine computes the Arctangent integral, which is defined as AtanInt(x) = \int_0^x dt \arctan(t)/t. |
atanint_e | This routine computes the Arctangent integral, which is defined as AtanInt(x) = \int_0^x dt \arctan(t)/t. |