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On a multiple integral representation of a kernel of Fox

Published online by Cambridge University Press:  24 October 2008

V. K. Varma
V. K. Varma
Affiliation:
Jabalpur Engineering College, India
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Extract

A function K(x) is said to be a symmetrical Fourier kernel if the integral equation

remains valid when f(x) and g(x) are interchanged amongst themselves.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 61 , Issue 2 , April 1965 , pp. 469 - 474
Copyright
Copyright © Cambridge Philosophical Society 1965

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References

REFERENCES

(1)Fox, C.The G and H functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc. 98 (1961), 395–429.Google Scholar
(2)Titchmarsh, E. C.Introduction to the theory of Fourier integrals (Oxford, 1937).Google Scholar
(3)Varma, V. K.On a new transform. Ganita 10 (1959), 32–47.Google Scholar
(4)Varma, V. K. On the asymptotic behaviour of . Ganita (to appear).Google Scholar
(5)Whittaker, E. T. and Watson, G. N.Modern analysis (Cambridge, 1927).Google Scholar