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


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.
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  • 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:
  • MathSciNet review: 559202