The Journal of the Indian Mathematical Society

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A Brief History of Self-Reciprocal Functions


Affiliations
1 Hindu University, Benares, India
     

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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, ∞).


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  • A Brief History of Self-Reciprocal Functions

Abstract Views: 455  |  PDF Views: 0

Authors

Brij Mohan Mehrotra
Hindu University, Benares, India

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, ∞).