John D. Cook 8/23/2026

Why special function terminology is arcane

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This article discusses the arcane terminology of special functions in mathematics, attributing it to their independent discoveries and long histories. It explains how functions like Hermite polynomials and Fourier transforms have multiple definitions due to separate development in different fields. The author argues that strange names often indicate importance and longevity, using 'modified Bessel functions' as an example of bland yet historically rooted terminology. The post serves as a preface to a future discussion on Bessel functions.

Why special function terminology is arcane

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