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The Exponential Integral and related functions are defined in Abramowitz and Stegun, Handbook of Mathematical Functions, Chapter 5
The Exponential Integral E1(z) (A&S 5.1.1) defined as
The Exponential Integral Ei(z) (A&S 5.1.2)
The Exponential Integral Li(z) (A&S 5.1.3)
The Exponential Integral En(z) (A&S 5.1.4) defined as
The Exponential Integral Si(z) (A&S 5.2.1) defined as
The Exponential Integral Ci(z) (A&S 5.2.2) defined as
The Exponential Integral Shi(z) (A&S 5.2.3) defined as
The Exponential Integral Chi(z) (A&S 5.2.4) defined as
Default value: false
Change the representation of one of the exponential integrals, expintegral_e(m, z), expintegral_e1, or expintegral_ei to an equivalent form if possible.
Possible values for expintrep are false, gamma_incomplete, expintegral_e1, expintegral_ei, expintegral_li, expintegral_trig, or expintegral_hyp.
false means that the representation is not changed. Other values indicate the representation is to be changed to use the function specified where expintegral_trig means expintegral_si, expintegral_ci, and expintegral_hyp means expintegral_shi or expintegral_chi.
Default value: false
Expand the Exponential Integral E[n](z) for half integral values in terms of Erfc or Erf and for positive integers in terms of Ei
Next: Error Function, Previous: Gamma and factorial Functions, Up: Special Functions [Contents][Index]