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The Harmonic Triangle and the Beta Function

by Ayoub B. Ayoub (Pennsylvania State University)

This article originally appeared in:
Mathematics Magazine
October, 1987

Subject classification(s): Differential & Difference Equations | Ordinary Differential Equations | Special Functions
Applicable Course(s): 4.11 Advanced Calc I, II, & Real Analysis | 7.13 Senior Seminar / Independent Study

The Harmonic Triangle is the difference table of the harmonic sequence. This note shows that the entries of the Harmonic Triangle are values of the beta function, and uses that result to find the row sums and the column sums for this triangle.

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