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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

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

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

SIN(x)

sine of x (angle in radians)*

SINH(x)

Hyperbolic sine

SQRT(x)

Square Root

TAN(x)

tangent of x (angle in radians)*

TANH(x)

Hyperbolic tangent

               

*  Use for example COS(x DEGREES) to convert arguments to radians.

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

 

Examples:

Samples | Usage | Standard_Functions.pde

 

 

 


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