Analytic Functions

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Analytic Functions

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The following analytic functions are supported by FlexPDE:

 

Function

Comments

ABS(x)

Absolute value

ARCCOS(x)

Inverse cosine (returns radians)

ARCSIN(x)

Inverse sine (returns radians)

ARCTAN(x)

Inverse tangent (returns radians)

ATAN2(y,x)

Arctan(y/x) with numerically safe implementation*

ATAN2V6(y,x)

Arctan(y/x) with numerically safe implementation*

BESSI(order,x)

Modified Bessel function I for real x

BESSJ(order,x)

Bessel Function J

BESSK(order,x)

Modified Bessel function K for real x

BESSY(order,x)

Bessel Function Y

COS(x)

Cosine of x (angle in radians)**

COSH(x)

Hyperbolic cosine of x (angle in radians)**

COTH(x)

Hyperbolic cotangent of x (angle in radians)**

CSCH(x)

Hyperbolic cosecant of x (angle in radians)**

ERF(x)

Error Function

ERFC(x)

Complementary Error Function

EXP(x)

Exponential function

EXPINT(x)

Exponential Integral Ei(x) for real x>0 ***

EXPINT(n,x)

Exponential Integral En(x) for n>=0, real x>0 ***

GAMMAF(x)

Gamma function for real x>0

GAMMAF(a,x)

Incomplete gamma function for real a>0, x>0

LOG10(x)

Base-10 logarithm

LN(x)

Natural logarithm

SECH(x)

Hyperbolic secant of x (angle in radians)**

SIN(x)

Sine of x (angle in radians)**

SINH(x)

Hyperbolic sine of x (angle in radians)**

SQRT(x)

Square Root

TAN(x)

Tangent of x (angle in radians)**

TANH(x)

Hyperbolic tangent

         

*  Note that in version 7 the definition has changed to use the standard range of -π to π.  ATAN2V6 is provided for compatibility with old behavior.

**  If working with degrees, use TORADIANS(x) to convert arguments from degrees to radians.

*** as defined in Abramowitz & Stegun, "Handbook of Mathematical Functions".        

 

Examples:

Samples | Usage | Functions | Standard_Functions.pde