mth LEVEL HARMONIC NUMERS
Abstract
- We define th level harmonic numbers as a generalization of harmonic numbers. Then we construct the table of th level harmonic numbers which is like the Pascals triangle. A formula for th level harmonic numbers containing binomial coefficients, as a generalization of Eulers formula for harmonic numbers, is also presented. From this formula, we also derive some relations between harmonic numbers and binomial coefficient.
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Year
- 2018
Author
-
Aung Phone Maw
Subject
- Math CS
Publisher
- Myanmar Academy of Arts and Science (MAAS)