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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Skip-Term Summation of Sequences
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by Irwin Roman PDF
Math. Comp. 13 (1959), 117-121 Request permission
References
    H. T. Davis, Tables of the Higher Mathematical Functions, Principia Press, Bloomington, Indiana, 1955, p. 200-201 and 251-255. A. de Morgan, Differential and Integral Calculus, Baldwin and Cradock, London, 1836, p. 317-318. L. Euler, “Inventio summae cuiusque serii ex dato termino generali,” Commentarii Academiae Scientiarum Imperialis Petropolitanae, Akademiia nauk SSSR, Leningrad, v. 8, 1736, p. 9-22.
  • R. B. Horgan, Table of coefficients for the partial summation of series, Math. Tables Aids Comput. 10 (1956), 156–162. MR 84202, DOI 10.1090/S0025-5718-1956-0084202-4
    • L. B. W. Jolley, Summation of Series, Chapman and Hall, London, 1925, p. 6. J. W. Lubbock, “On the comparison of various tables of annuities,” Camb. Phil, Soc. Trans., v. 3, 1830, p. 321-341. C. MacLaurin, “A treatise of fluxions,” T. W. & T. Ruddimans, Edinburgh, 1742, p. 673. Mathematical Tables Project, Tables of Lagrangian Interpolation Coefficients, Columbia University Press, New York, 1944.
  • Irwin Roman, An Euler Summation Formula, Amer. Math. Monthly 43 (1936), no. 1, 9–21. MR 1523550, DOI 10.2307/2301097
  • Herbert E. Salzer, A simple method for summing certain slowly convergent series, J. Math. and Phys. 33 (1955), 356–359. MR 68315, DOI 10.1002/sapm1954331356
  • Herbert E. Salzer, Formulas for the partial summation of series, Math. Tables Aids Comput. 10 (1956), 149–156. MR 81528, DOI 10.1090/S0025-5718-1956-0081528-5
    • T. B. Sprague, “On Lubbock’s formula for approximating to the value of a life annuity,” J. Inst. Actuaries, London, v. 18, 1874, p. 305-317. J. F. Steffensen, Interpolation, Williams & Wilkins, Baltimore, Maryland, 1927, p. 138-148. E. T. Whittaker, & G. Robinson, The Calculus of Observations, Blackie, London, 1924, p. 149-150.
Additional Information
  • © Copyright 1959 American Mathematical Society
  • Journal: Math. Comp. 13 (1959), 117-121
  • DOI: https://doi.org/10.1090/S0025-5718-59-99263-4