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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.

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Inductive formulae for general sum operations
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by Daniel Minoli PDF
Math. Comp. 34 (1980), 543-545 Request permission

Abstract:

In this note we report some computer generated formulae for the sum of powers of numbers with nonunitary increments; these reduce to the well-known cases when the increment is one.
References
    CRC Handbook of Tables for Probability and Statistics (W. H. Beyer, Ed.), The Chemical Rubber Co., Cleveland, Ohio, 1966. M. ABRAMOWITZ & I. STEGUN, Handbook of Mathematical Functions, Dover, New York, 1964.
  • Daniel Minoli, Asymptotic form for generalized factorial, Rev. Colombiana Mat. 11 (1977), no. 1-4, 59–75 (English, with Spanish summary). MR 0567129
  • Kenneth S. Miller, An introduction to the calculus of finite differences and difference equations, Henry Holt and Company, Inc., New York, 1960. MR 0115027
  • Charles Jordan, Calculus of finite differences, 3rd ed., Chelsea Publishing Co., New York, 1965. Introduction by Harry C. Carver. MR 0183987
  • Francis B. Hildebrand, Finite-difference equations and simulations, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1968. MR 0228185
  • George Boole, Calculus of finite differences, Chelsea Publishing Co., New York, 1957. Edited by J. F. Moulton 4th ed. MR 0115025
  • I. S. GRADSHTEYN & I. M. RYZHIK, Table of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965. ELDON R. HANSEN, A Table of Series and Products, Prentice-Hall, Englewood Cliffs, N. J., 1975. I. J. SCHWATT, An Introduction to the Operations with Series, Univ. of Pennsylvania Press, 1924; reprinted by Chelsea, New York, 1962.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Math. Comp. 34 (1980), 543-545
  • MSC: Primary 65B15; Secondary 10J06, 40-04
  • DOI: https://doi.org/10.1090/S0025-5718-1980-0559202-1
  • MathSciNet review: 559202