A Brief History of Self-Reciprocal Functions

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Authors

  • Hindu University, Benares ,IN

DOI:

https://doi.org/10.18311/jims/1935/17397

Abstract

By means of Fourier's Cosine-Integral, a function is, subject to certain conditions, capable of being represented as a repeated integral

f(x)=2/π∫cosux du ∫f(y) cosuy dy

in the interval (0, ∞).