ChapterP1n

P1n

LeGendre function of the first kind, degree one.

Loading LOADSUB ALL FROM "LEGENDRE.HTS"

or LOADSUB FROM "MATHLIB.HTS"

Usage INTEGER N

REAL X,Y

Y=FNP1n(N,X)

Description

FNP1n returns the value of the Legendre function of the first kind, degree one, and order n of x, Pn1(x), into the real variable Y. N must be positive or zero.

Errors

FNP1n causes an HTBasic error if its arguments are not of the types listed in the USAGE section, above, if n < 0, or if the polynomial's absolute value would be larger than MAXREAL, the largest value representable.

See Also

Pn, Q1n

Pn1(x)

Note

For n > 12, the algorithm used computes the value of Pn1 using a recursion from the values of P11 and P21. The computation time increases with n - 1 and the computation accuracy decreases with n - 1.