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A note on a pair of integral operators involving Whittaker functions

Published online by Cambridge University Press:  18 May 2009

G. M. Habibullah
G. M. Habibullah
Affiliation:
Department of Mathematics, University of Jos, Jos, Nigeria
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In recent years various authors have studied integral operators involving confluent hypergeometric functions Mκ,μ and Wκ,μ. Using the method devised by Fox [2], Saxena [5] obtained the inverse of an integral operator with kernel (xt) μ− ½e− ½xtWκ,μ (xt). Singh [6] derived the solution of an integral equation of convolution type with kernel

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 18 , Issue 1 , January 1977 , pp. 99 - 100
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

REFERENCES

1.A. Erdé'lyi, et al. , Higher transcendental functions Vol. I (McGraw-Hill, 1953).Google Scholar
2.Fox, C., An inversion formula for the kernel K v(x), Proc. Cambridge Philos. Soc. 61 (1965), 457467.Google Scholar
3.Kober, H., On fractional integrals and derivatives, Quart. J. Math. Oxford 11 (1940), 193–211.Google Scholar
4.Okikiolu, G. O., Aspects of the theory of bounded integral operators in L p-space (Academic Press, 1971).Google Scholar
5.Singh, C., An inversion integral for a Whittaker transform, Riv. Mat. Univ. Parma (2) 11 (1970), 277–280.Google Scholar
6.Saxena, R. K., An inversion formula for Varma transform, Proc. Cambridge Philos. Soc. 62 (1966), 467–471.Google Scholar