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Multiple Series Manipulations and Generating Functions

Published online by Cambridge University Press:  20 November 2018

R. C. Grimson*
Affiliation:
Department of Biostatistics, School of Public Health, University of North Carolina, Chapel HillNorth Carolina27514
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Let γ be an increasing function on the real numbers such that γ(0) = 0 (which, by translation of axes, is no restriction) and suppose that γ(n) is a positive integer if n is a positive integer. Let γ- denote the inverse function of γ. Furthermore, let L(x) be the least integer ≥ x; let [x] be the greatest integer ≤x, and suppose that c0, c1 … is an arbitrary sequence of numbers.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1977

References

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