A note on a pair of integral operators involving Whittaker functions
Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 99-100

Voir la notice de l'article provenant de la source Cambridge University Press

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− 1⁄2e− 1⁄2xtWκ,μ (xt). Singh [6] derived the solution of an integral equation of convolution type with kernel
Habibullah, G. M. A note on a pair of integral operators involving Whittaker functions. Glasgow mathematical journal, Tome 18 (1977) no. 1, pp. 99-100. doi: 10.1017/S0017089500003098
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[1] 1.A. Erdé'lyi, et al. , Higher transcendental functions Vol. I (McGraw-Hill, 1953). Google Scholar

[2] 2.Fox, C., An inversion formula for the kernel K (x), Proc. Cambridge Philos. Soc. 61 (1965), 457467. Google Scholar

[3] 3.Kober, H., On fractional integrals and derivatives, Quart. J. Math. Oxford 11 (1940), 193–211. Google Scholar

[4] 4.Okikiolu, G. O., Aspects of the theory of bounded integral operators in L p-space (Academic Press, 1971). Google Scholar

[5] 5.Singh, C., An inversion integral for a Whittaker transform, Riv. Mat. Univ. Parma (2) 11 (1970), 277–280. Google Scholar

[6] 6.Saxena, R. K., An inversion formula for Varma transform, Proc. Cambridge Philos. Soc. 62 (1966), 467–471. Google Scholar

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