Dataplot

Vol 2

Vol 1

Dataplot Reference Manual
Volume 2: LET Subcommands and Library Functions

Chapter 6: Mathematical Library Functions

INTRODUCTION

ABRAM (Abramowitz Functions)

ABS (Absolute Value)

AGREE

AIRINT (Integral of Airy Function)

AIRY (Airy Function)

AIRYGI (Modified Airy Gi Function)

AIRYHI (Modified Airy Hi Function)

ANGRAD (counterclockwise angle, in radians, defined by 3 points)

ATNINT (Integral of Inverse-Tangent Function)

BAIRY (Airy Function, Second Kind)

BER (Kelvin Ber Functions)

BESSI0 (Modified Bessel Function, Order 0)

BESSI0E (Exponentially Scaled Modified Bessel Function, Order 0)

BESSI1 (Modified Bessel Function, Order 1)

BESSI1E (Exponentially Scaled Modified Bessel Function, Order 1)

BESSIN (Modified Bessel Function, Order N)

BESSINE (Exponentially Scaled Modified Bessel Function, Order N)

BESSJN (Bessel Function First Kind, Order N)

BESSK0 (Modified Bessel Function Third Kind, Order 0)

BESSK0E (Exponentially Scaled Modified Bessel Function Third Kind, Order 0)

BESSK1 (Modified Bessel Function Third Kind, Order 1)

BESSK1E (Exponentially Scaled Modified Bessel Function Third Kind, Order 1)

BESSKN (Modified Bessel Function Third Kind, Order N)

BESSKNE (Exponentially Scaled Modified Bessel Function Third Kind, Order N)

BESSx (Bessel Functions)

BESSY0 (Bessel Function Second Kind, Order 0)

BESSY1 (Bessel Function Second Kind, Order 1)

BESSYN (Bessel Function Second Kind, Order N)

BETA

BETAI (Incomplete Beta Function)

BINOMIAL (Binomial Coefficients)

BINPAT

BIRINT (Integral of Airy Function of the Second Kind)

BN (Bernoulli Numbers and Polynomials)

CABS (Complex Absolute Value)

CATLAN (Catlan Beta Function)

CBESSI (Complex Modified Bessel Function)

CBESSJ (Complex Bessel Function First Kind)

CBESSK (Complex Modified Bessel Function Third Kind)

CBESSY (Complex Bessel Function Second Kind)

CBETA (Complex Beta)

CCOS (Complex Cosine)

CEIL (Ceiling)

CEXP (Complex Exponential)

CGAMMA (Complex Gamma)

CHEBT (Chebychev Polynomial, First Kind, Order N)

CHEBU (Chebychev Polynomial, Second Kind, Order N)

CHEBx (Chebychev Functions)

CHM (Confluent Hypergeometric M Function)

CHU (Logarithmic Confluent Hypergeometric U Function)

CLAUSN (Clausen's Integral)

CLNBETA (Complex Log Beta)

CLNGAM (Complex Log Gamma)

CLOG (Complex Natural Logarithm)

CN (Jacobian Elliptic Function cn)

COSHINT (Hyperbolic Cosine Integral)

COSINT (Cosine Integral)

CPSI (Complex Psi)

CSIN (Complex Sine)

CSQRT (Complex Square Root)

DAWSON (Dawson Integral)

DEBYE (Debye Function)

DECOCT (Decimal to Octal)

DIGAMMA (Digamma Function)

DISAGREE

DN (Jacobian Elliptic Function dn)

DIM (Positive Difference)

DPNTLINE (Distance from Point to Line)

ELLIP1 (Legendre's Elliptic Integral, First Kind)

ELLIP2 (Legendre's Elliptic Integral, Second Kind)

ELLIP3 (Legendre's Elliptic Integral, Third Kind)

ELLIPC1 (Legendre's Complete Elliptic Integral, First Kind)

ELLIPC2 (Legendre's Complete Elliptic Integral, Second Kind)

EN (Euler Numbers and Polynomials)

EQ (Equal)

ERF (Error Function)

ERFC (Complementary Error Function)

ETA (Eta Function)

EXPINT1 (Exponetial Integral of Order 1)

EXPINTE (Ei Form of Exponential Integral)

EXPINTN (Exponential Integral of Order N)

EXP3 (Cubic Exponential Integral)

FERMDIRA (Fermi-Dirac Integral)

FLOOR

FRACT (Fractional Part of a Number)

FRESNC (Fresnel Cosine Integral)

FRESNF (Fresnel Auxillary Function F)

FRESNG (Fresnel Auxillary Function G)

FRESNS (Fresnel Sine Integral)

GAMMA

GAMMAI (Incomplete Gamma Function)

GAMMAIC (Complementary Incomplete Gamma Function)

GAMMAIP (Incomplete Gamma Function Ratio)

GAMMAR (Reciprocal Gamma Function)

GCD (Greatest Common Divisor)

GOODST (Goodwin and Stanton Integral)

GE (greater than or equal to)

GT (greater than)

HARMNUMB (Harmonic Number and Generalized Harmonic Number)

HEAVE (Heaveside Function)

HERMITE (Hermite Polynomial)

HV (Struve Function)

HYPERGEO (Hypergeometric Function)

I0INT (Integral of modified Bessel Function of the First Kind Order 0)

I0ML0 (Difference of Modified Bessel Function of the First Kind Order 0 and modified Struve Function of Order 0)

I1ML1 (Difference of Modified Bessel Function of the First Kind Order 1 and modified Struve Function of Order 1)

IBCDF (Inverted Beta CDF)

IND (Indicator Function)

INT (Integer Part of a Number)

J0INT (Integral of Bessel Function of the First Kind Order 0)

JACOBIP (Jacobi Polynomial)

JULIA (Used to Compute Julia Sets)

K0INT (Integral of modified Bessel Function of the Third Kind Order 0)

KER (Kelvin Ker Functions)

LAGUERRE (Laguerre Polynomial)

LAMBDA (Lambda Functions)

LAMBDAP (Derivatives of Lambda Functions)

LEGENDRE (Legendre Polynomial)

LN (Natural Logarithm)

LNBETA (Log Beta Function)

LOBACH (Lobachevski's Integral)

LOG2 (Base 2 Logarithm)

LOG10 (Base 10 Logarithm)

LOGGAMMA

LOGINT (Logarithmic Integral)

LE (less than or equal to)

LT (less than)

LV (Modified Struve Function)

MAX (Maximum of 2 to 8 Numbers)

MERGE

MIN (Minimum of 2 to 8 Numbers)

MOD (Modula Function)

MSD (Most Significant Digit)

NE (not equal)

NORPPCV (Normal PPCC Critical Value)

OCTDEC (Octal to Decimal)

PB (Parabolic Cylinder Functions)

PEQ (Weierstrass P Elliptic Function, Equiharmonic Case)

PEQ1 (Derivative of Weierstrass P Elliptic Function, EquiHarmonic Case)

PERCDIF (Percent Difference)

PERCERR (Percent Error)

PLEM (Weierstrass P Elliptic Function, Lemniscatic Case)

PLEM1 (Derivative of Weierstrass P Elliptic Function, Lemniscatic Case)

POCH (Generalization of Pochhammer's Symbol)

POCH1 (Generalization of Pochhammer's Symbol)

PSIFN (Scaled Psi Function)

RC (Carlson's Degenerate Elliptic Integral)

RD (Carlson's Elliptic Integral of Second Kind)

RELDIF (Relative Difference)

RELERR (Relative Error)

RF (Carlson's Elliptic Integral of First Kind)

RJ (Carlson's Elliptic Integral of Third Kind)

ROUND

SIGN

SINHINT (Hyperbolic Sine Integral)

SININT (Sine Integral)

SLOPE (Slope of Line Determined by Two Points)

SN (Jacobian Elliptic Integral sn)

SPENCE (Spence Integral)

SPHRHRMR (Spherical Harmonic Function)

SQRT

SYNCH (Synchrotron Radiation Functions)

STROM (Stromgren's Integral)

TRAN (Transport Integral)

TRICOMI (Tricomi's Form of Incomplete Gamma Function)

TRIGAMMA

ULTRASP (Ultrasperhical or Gegenbauer Polynomial)

Y0INT (Integral of Bessel Function of the Second Kind Order 0)

ZETA (Zeta Function)