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156. ALEGEN: Values of Associated Legendre Functions by James J. Eberhardt, University of New Hampshire, Durham, New Hampshire 03824 Subroutine ALEGEN (N,X) computes all values of the Associated Legendre Functions PO(n,m)(X) for order n and degree m where: See, for example, Eyring, Walter and Kimball, Quantum Chemistry (New York, John Wiley and Sons, 1963), pp. 59 ff. Because of reasons of numerical stability, the latter formula is recast (IBM Publication H20-0205-1, 1967): FORTRAN Lines of Code: 75 Recommended Citation: J. J. Eberhardt, QCPE 11, 156 (1970).