## File: Exponential-Integral.html

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 123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112  GNU Scientific Library – Reference Manual: Exponential Integral

7.17.1 Exponential Integral

Function: double gsl_sf_expint_E1 (double x)
Function: int gsl_sf_expint_E1_e (double x, gsl_sf_result * result)

These routines compute the exponential integral E_1(x),

E_1(x) := \Re \int_1^\infty dt \exp(-xt)/t.
Function: double gsl_sf_expint_E2 (double x)
Function: int gsl_sf_expint_E2_e (double x, gsl_sf_result * result)

These routines compute the second-order exponential integral E_2(x),

E_2(x) := \Re \int_1^\infty dt \exp(-xt)/t^2.
Function: double gsl_sf_expint_En (int n, double x)
Function: int gsl_sf_expint_En_e (int n, double x, gsl_sf_result * result)

These routines compute the exponential integral E_n(x) of order n,

E_n(x) := \Re \int_1^\infty dt \exp(-xt)/t^n.