<-- Previous || Up || Next -->

RC Function
Math Engineering Class

Public Function RC( _
      ByVal vX As Variant _
    , ByVal vY As Variant _
    ) As Variant

Calculate a double precision approximation to RC(X,Y) = Integral from zero to infinity of (1/2)(t+X)^(-1/2)(t+Y)^(-1) dt, where X is nonnegative and Y is positive.

Examples:
    RC(1, 1) = 1
    RC(1, 2) = 0.785398163397448
    RC(2, 1) = 0.881373587019543
    RC(2, 2) = 0.707106781186547
See also:
    RD Function
    RF Function
    RJ Function
    DRC Function
vX: Function returns Null if vX is Null or cannot be fixed up to a Double precision floating point number.
vY: Function returns Null if vY is Null or cannot be fixed up to a Double precision floating point number.

The routine calculates an approximation result to RC(X,Y) = integral from zero to infinity of

              -1/2     -1
    (1/2)(t+X)    (t+Y)  dt,
where X is nonnegative and Y is positive. The duplication theorem is iterated until the variables are nearly equal, and the function is then expanded in Taylor series to fifth order. Logarithmic, inverse circular, and inverse hyperbolic functions can be expressed in terms of RC.

Copyright 1996-1999 Entisoft
Entisoft Tools is a trademark of Entisoft.