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On Self-reciprocal functions for Fourier-Bessel integral transforms

Published online by Cambridge University Press:  24 October 2008

Afzal Ahmad
Affiliation:
Osmania UniversityHyderabad (A.P.), India
V. Lakshmikanth
Affiliation:
Osmania UniversityHyderabad (A.P.), India

Extract

Following Hardy and Titchmarsh(1) a function f(x) is said to be self-reciprocal if it satisfies the Fourier-Bessel integral transform

where Jp(x) is a Bessel function of order P ≥ –½. This integral is denoted by Rp. The special cases P ½ and P ½, we denote by Rs and Rc, respectively.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

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