Fractional Calculus and the Sum of Powers of Natural Numbers

Publisher: John Wiley & Sons Inc

E-ISSN: 1467-9590|85|2|183-193

ISSN: 0022-2526

Source: STUDIES IN APPLIED MATHEMATICS, Vol.85, Iss.2, 1991-08, pp. : 183-193

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Abstract

By employing a certain operator of fractional calculus, some interesting results were proven recently for the sums of powers of natural numbers. This paper presents a systematic analysis of these (as well as of numerous related) classes of summation or expansion formulas which have already been considered in the literature in various contexts other than that of fractional calculus. Some historical details are also provided.