Elements of harmonic analysis
英文摘要：
These informal notes briefly discuss some basic topics in harmonic analysis along the lines of convolutions and Fourier transforms.
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Elements of harmonic analysis, 4
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Quadratic Transformations of Hypergeometric Function and Series with Harmonic Numbers
In this brief note, we show how to apply Kummer's and other quadratic transformation formulas for Gauss' and generalized hypergeometric functions in order to obtain transformation and summation formulas for series with harmonic numbers that contain one or two continuous parameters. We also give a generating function of the sequence $\frac{(a)_n (1-a)_n}{(n!)^2}H_n$ as a combination of Gauss hypergeometric function and elementary functions.
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