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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
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
Copyright
Copyright © Glasgow Mathematical Journal Trust 1977

References

REFERENCES

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5.Singh, C., An inversion integral for a Whittaker transform, Riv. Mat. Univ. Parma (2) 11 (1970), 277280.Google Scholar
6.Saxena, R. K., An inversion formula for Varma transform, Proc. Cambridge Philos. Soc. 62 (1966), 467471.Google Scholar