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The Harmonic Triangle and the Beta Function
by Ayoub B. AyoubThis article originally appeared in:
Subject classification(s): Differential and 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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