Module rgsl::exponential_integrals
[−]
[src]
Functions
| Chi |
This routine computes the integral Chi(x) := \Re[ \gamma_E + \log(x) + \int_0x 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_0x 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), |
| E2 |
This routine computes the second-order exponential integral E_2(x), |
| E1_e |
This routine computes the exponential integral E_1(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_0x dt \sinh(t)/t. |
| Shi_e |
This routine computes the integral Shi(x) = \int_0x dt \sinh(t)/t. |
| Si |
This routine computes the Sine integral Si(x) = \int_0x dt \sin(t)/t. |
| Si_e |
This routine computes the Sine integral Si(x) = \int_0x dt \sin(t)/t. |
| _3 |
This routine computes the third-order exponential integral Ei_3(x) = \int_0xdt \exp(-t3) for x >= 0. |
| _3_e |
This routine computes the third-order exponential integral Ei_3(x) = \int_0xdt \exp(-t3) for x >= 0. |
| atanint |
This routine computes the Arctangent integral, which is defined as AtanInt(x) = \int_0x dt \arctan(t)/t. |
| atanint_e |
This routine computes the Arctangent integral, which is defined as AtanInt(x) = \int_0x dt \arctan(t)/t. |