The Numerical Computation of Two Transcendental Functions Related to the Exponential Integral
The Numerical Computation of Two Transcendental Functions Related to the Exponential Integral
Algorithms for the computation of numerical values of the two transcendental functions \[ \int _0^x {\tfrac {1}{t}} [\operatorname {Ei} (t) - \gamma - \ln \left | t \right |]dt\quad {\text {and}}\quad \int _0^x {\tfrac {1}{t}} [\operatorname {Ei} (t) - \gamma - \ln \left | t \right |]\exp ( - t)dt,\] …