Tables of the roots of the associated Legendre function with respect to the degree

Bauer, Helmut F.

doi:10.1090/S0025-5718-1986-0829629-4

Tables of the roots of the associated Legendre function with respect to the degree
HTML articles powered by AMS MathViewer

by Helmut F. Bauer PDF

Math. Comp. 46 (1986), 601-602 Request permission

Abstract:

Tables of the numerical value of the roots with respect to the degree of the Legendre functions of the first kind and those of the first derivative are presented.

References

Acta Mech.

Herbert Buchholz, Die Bewegung elektromagnetischer Wellen in einem kegelförmigen Horn, Ann. Physik 37 (1940), 173–225 (German). MR 2101, DOI 10.1002/andp.19404290302

Akust. Z.

H. S. Carslaw and J. C. Jaeger, Conduction of heat in solids, 2nd ed., Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1988. MR 959730

n

Bull. Calcutta Math. Soc.

H. F. Bauer, On the numerical value of the roots of the associated Legendre function with respect to the order, Z. Angew. Math. Mech. 61 (1981), no. 10, 525–527. MR 642826, DOI 10.1002/zamm.19810611008
J. M. Smith, F. W. J. Olver, and D. W. Lozier, Extended-range arithmetic and normalized Legendre polynomials, ACM Trans. Math. Software 7 (1981), no. 1, 93–105. MR 607353, DOI 10.1145/355934.355940
J. M. Smith, F. W. J. Olver, and D. W. Lozier, Extended-range arithmetic and normalized Legendre polynomials, ACM Trans. Math. Software 7 (1981), no. 1, 93–105. MR 607353, DOI 10.1145/355934.355940
F. W. J. Olver and J. M. Smith, Associated Legendre functions on the cut, J. Comput. Phys. 51 (1983), no. 3, 502–518. MR 718756, DOI 10.1016/0021-9991(83)90166-3