ChapterQn

LeGendre function of the second kind.

Loading LOADSUB ALL FROM "LEGENDRE.HTS"

or LOADSUB FROM "MATHLIB.HTS"

Usage INTEGER N

REAL X,Y

Y=FNQn(N,X)

Description

FNQn returns the value of the Legendre function of the second kind, degree zero, and order n of x, Qn(x). N must be positive or zero.

Errors

FNQn causes an HTBasic error if its arguments are not of the types listed in the usage section, above, if n is negative, or if the polynomial's absolute value would be larger than MAXREAL, the largest value representable.

See Also

Pn, Q1n

Qn(x)

Note

For n > 2, the algorithm used computes the value of Qn using a recursion from the values of Q1 and Q2. The computation time increases with n-1 and the computation accuracy decreases with n-1.