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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Recurrence relations for the indefinite integrals of the associated Legendre functions
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by A. R. DiDonato PDF
Math. Comp. 38 (1982), 547-551 Request permission

Abstract:

Two recurrence relations are derived for the computation of the integral of the associated Legendre functions of real argument and integer order and degree.
References
  • Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774
  • M. K. Paul, Recurrence relations for integrals of associated Legendre functions, Bull. Géodésique 52 (1978), no. 3, 177–190. MR 508198, DOI 10.1007/BF02521771
  • W. M. Robertson, Spherical Geodetic Transformations, Vol. I of II, Report No. R-l181, The Charles Stark Draper Laboratories, Inc., Cambridge, Mass. 02139, September 1978.
  • E. T. Whittaker and G. N. Watson, A course of modern analysis, Cambridge Mathematical Library, Cambridge University Press, Cambridge, 1996. An introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions; Reprint of the fourth (1927) edition. MR 1424469, DOI 10.1017/CBO9780511608759
  • B. Zondek, Aggregation Errors of Cell-Averaged Geoid Heights, Naval Surface Weapons Center, Dahlgren Laboratory, TR-3608, April 1977.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Math. Comp. 38 (1982), 547-551
  • MSC: Primary 33A45; Secondary 33A65
  • DOI: https://doi.org/10.1090/S0025-5718-1982-0645670-5
  • MathSciNet review: 645670