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Some self-reciprocal functions and kernels

Published online by Cambridge University Press:  24 October 2008

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

The aim of this note is to find out some self-reciprocal functions and kernels for Fourier-Bessel integral transforms. Following Hardy and Titchmarsh(i), we shall denote by Rp the class of functions which satisfy the homogeneous integral equation

where Jp(x) is a Bessel function of order p ≥ − ½. For particular values of p = ½, − ½, we write Rs and Rc irrespectively.

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 3 , July 1961 , pp. 690 - 692
Copyright
Copyright © Cambridge Philosophical Society 1961

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References

REFERENCES

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(3)Lakshmikanth, V. On the relation between the self-reciprocal functions and kernels (submitted for publication).Google Scholar
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