Class C5 ... Exponential and logarithmic integrals

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Modules for class C5

• SINGLE C routines for evaluation of special functions, including Airy, Bessel, beta, ex ...

• ALI (DLI) Logarithmic integral, integral from 0 to x of 1/ln(t).
• DE1 (E1) Integral from x to infinity of exp(-t)/t), for double precision x and t.
• DEI (EI) Integral from -x to infinity of -exp(-t)/t), for double precision x and t.
• DEXINT (EXINT) Computes sequences of exponential integrals E(n+k,x) k=0,...,m-1 or exp(x) times ...
• DLI (ALI) Logarithmic integral. Integral from 0 to x of 1/ln(t), for double precision x an ...
• DSPENC (SPENC) Integral from 0 to x of ln(abs(1-t))/t, for double precision x and t.
• E1 (DE1) Integral from x to infinity of exp(-t)/t.
• EI (DEI) Integral from -x to infinity of -exp(-t)/t. Exponential integral for arguments g ...
• EXINT (DEXINT) Computes sequences of exponential integrals E(n+k,x) k=0,...,m-1 or exp(x) times ...
• SPENC (DSPENC) Integral from 0 to x of ln(abs(1-t))/t.

• ALI (DLI) Logarithmic integral, integral from 0 to x of 1/ln(t).
• DE1 (E1) Integral from x to infinity of exp(-t)/t).
• DEI (EI) Integral from -x to infinity of -exp(-t)/t).
• DLI (ALI) Logarithmic integral. Integral from 0 to x of 1/ln(t).
• DSPENC (SPENC) Integral from 0 to x of ln(abs(1-t))/t.
• E1 (DE1) Integral from x to infinity of exp(-t)/t.
• EI (DEI) Integral from -x to infinity of -exp(-t)/t. Exponential integral for arguments g ...
• SPENC (DSPENC) Integral from 0 to x of ln(abs(1-t))/t.

• ALI (DLI) Logarithmic integral, integral from 0 to x of 1/ln(t).
• CHI (DCHI) Hyperbolic cosine integral.
• CI (DCI) Cosine integral.
• CIN (DCIN) Evaluate a function closely related to the cosine integral.
• CINH (DCINH) Evaluate a function closely related to the hyperbolic cosine integral.
• DCHI (CHI) Hyperbolic cosine integral.
• DCI (CI) Cosine integral.
• DCIN (CIN) Evaluate a function closely related to the cosine integral.
• DCINH (CINH) Evaluate a function closely related to the hyperbolic cosine integral.
• DE1 (E1) Exponential integral for arguments greater than zero and the Cauchy principal va ...
• DEI (EI) Exponential integral for arguments greater than zero and the Cauchy principal va ...
• DENE (ENE) Exponential integral of integer order for arguments greater than zero scaled by ...
• DLI (ALI) Logarithmic integral. Integral from 0 to x of 1/ln(t), for double precision x an ...
• DSHI (SHI) Hyperbolic sine integral.
• DSI (SI) Sine integral.
• DSPENC (SPENC) Evaluate Spence's integral, see [AMS55 (27.7.1)].
• E1 (DE1) Exponential integral for arguments greater than zero and the Cauchy principal va ...
• EI (DEI) Integral from -x to infinity of -exp(-t)/t. Exponential integral for arguments g ...
• ENE (DENE) Exponential integral of integer order for arguments greater than zero scaled by ...
• SHI (DSHI) Hyperbolic sine integral.
• SI (DSI) Sine integral.
• SPENC (DSPENC) Evaluate Spence's integral, see [AMS55 (27.7.1)].

• S13AAF Exponential integral, e1(x).

• NAG_EXP_INTEGRAL Returns the value of the exponential integral E1(x).

• ALI (DLI) Compute the logarithmic integral.
• DE1 (E1) Compute the exponential integral E1(X).
• DEI (EI) Compute the exponential integral Ei(X).
• DEXINT (EXINT) Compute an M member sequence of exponential integrals E(N+K, X), K=0, 1, ..., M- ...
• DLI (ALI) Compute the logarithmic integral.
• DSPENC (SPENC) Compute a form of Spence's integral due to K. Mitchell.
• E1 (DE1) Compute the exponential integral E1(X).
• EI (DEI) Compute the exponential integral Ei(X).
• EXINT (DEXINT) Compute an M member sequence of exponential integrals E(N+K, X), K=0, 1, ..., M- ...
• SPENC (DSPENC) Compute a form of Spence's integral due to K. Mitchell.

• EXPINT Exponential integrals and scaled exponential integrals.
• SICIEI Sine, cosine, exponential, scaled exponential, hyperbolic sine and hyperbolic co ...

• EI Computes the exponential integrals Ei(x), E1(x), and exp(-x)*Ei(x) for real argu ...

• 556 EXPINT: a Fortran subroutine for computing sequences of exponential integrals E( ...
• 683 A portable Fortran subroutine for exponential integrals of a complex argument. B ...
• 715 SPECFUN: Portable special function programs for real arguments, including Bessel ...