IDL Analyst Reference Guide: Special Functions

Special Functions Routines

Error Functions

IMSL_ERF—Error function.

IMSL_ERFC—Complementary error function.

IMSL_BETA—Beta function.

IMSL_LNBETA—Logarithmic beta function.

IMSL_BETAI—Incomplete beta function.

Gamma Functions

IMSL_LNGAMMA—Logarithmic gamma function.

IMSL_GAMMA_ADV—Real gamma function.

IMSL_GAMMAI—Incomplete gamma function.

Bessel Functions with Real Order and Complex Argument

IMSL_BESSI—Modified Bessel function of the first kind.

IMSL_BESSJ—Bessel function of the first kind.

IMSL_BESSK—Modified Bessel function of the second kind.

IMSL_BESSY—Bessel function of the second kind.

IMSL_BESSI_EXP—Bessel function e-|x|I0(x), Bessel function e-|x|I1(x).

IMSL_BESSK_EXP—Bessel function exK0(x), Bessel function exK1(x).

Elliptic Integrals

IMSL_ELK—Complete elliptic integral of the first kind.

IMSL_ELE—Complete elliptic integral of the second kind.

IMSL_ELRF—Carlson's elliptic integral of the first kind.

IMSL_ELRD—Carlson's elliptic integral of the second kind.

IMSL_ELRJ—Carlson's elliptic integral of the third kind.

IMSL_ELRC—Special case of Carlson's elliptic integral.

Fresnel Integrals

IMSL_FRESNEL_COSINE—Cosine Fresnel integral.

IMSL_FRESNEL_SINE—Sine Fresnel integral.

Airy Functions

IMSL_AIRY_AI—Airy function, and derivative of the Airy function.

IMSL_AIRY_BI—Airy function of the second find, and derivative of the Airy function of the second kind.

Kelvin Functions

IMSL_KELVIN_BER0—Kelvin function ber of the first kind, order 0, and derivative of the Kelvin function ber.

IMSL_KELVIN_BEI0—Kelvin function bei of the first kind, order 0, and derivative of the Kelvin function bei.

IMSL_KELVIN_KER0—Kelvin function ker of the second kind, order 0, and derivative of the Kelvin function ker.

IMSL_KELVIN_KEI0—Kelvin function kei of the second kind, order 0 and derivative of the Kelvin function kei.

  IDL Online Help (March 06, 2007)