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ITERATED PRIMITIVES OF LOGARITHMIC POWERS.

Authors :
MEDINA, LUIS A.
MOLL, VICTOR H.
ROWLAND, ERIC S.
Source :
International Journal of Number Theory. May2011, Vol. 7 Issue 3, p623-634. 12p.
Publication Year :
2011

Abstract

The evaluation of iterated primitives of powers of logarithms is expressed in closed form. The expressions contain polynomials with coefficients given in terms of the harmonic numbers and their generalizations. The logconcavity of these polynomials is established. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ITERATIVE methods (Mathematics)
*LOGARITHMIC functions
*LOGARITHMS
*POLYNOMIALS
*NUMBER theory
*GENERALIZATION
*GRAPH labelings

Details

Language :
English
ISSN :
17930421
Volume :
7
Issue :
3
Database :
Academic Search Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
61039009
Full Text :
https://doi.org/10.1142/S179304211100423X
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