Public Function BesselKE( _ ByVal vX As Variant _ , ByVal vFNU As Variant _ ) As Variant
BesselKE(.5, 0) = 1.5241093857739 BesselKE(.5, 1) = 2.73100970821179 BesselKE(.5, 1.5) = 5.31736155271655 BesselKE(.5, 2) = 12.448148218621 BesselKE(.5, 0) = BesselK0E(.5) BesselKE(.5, 1) = BesselK1E(.5)See also:
BesselK0E Function BesselK1E Function BesselK Function BesselIE Function DBESK SubroutinevX: Function returns Null if vX is Null or cannot be fixed up to a Double precision floating point number.
BesselKE implements forward recursion on the three term recursion relation for a one member sequence of non-negative order Bessel functions K/sub(FNU)/(X), for real X > 0 and non-negative orders FNU. If FNU < NULIM, orders FNU and FNU+1 are obtained from DBSKNU to start the recursion. If FNU >= NULIM, the uniform asymptotic expansion is used for orders FNU and FNU+1 to start the recursion. NULIM is 35 or 70 depending on whether N=1 or N >= 2. Under and overflow tests are made on the leading term of the asymptotic expansion before any extensive computation is done.
The maximum number of significant digits obtainable is the smaller of 14 and the number of digits carried in double precision arithmetic.
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