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On integral equations involving Whittaker's function
Published online by Cambridge University Press: 18 May 2009
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Recently some inversion integrals for integral equations involving Legendre, Chebyshev, Gegenbauer and Laguerre polynomials in the kernel have been obtained [1, 2, 3, 5, 6]. In this note, two inversion integrals for integral equations involving Whittaker's function in the kernel are obtained. We shall make use of the following known integral [4, p. 402]
The results of this note are based on the following two integrals, which are derived from (1) by writing u – t = (v – t)x.
for m + 1 > 2v > – 1;
for m + 1 > 2v > – 1.
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- Copyright © Glasgow Mathematical Journal Trust 1966
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REFERENCES
1.Buschman, R. G., An inversion integral for a Legendre transformation, Amer. Math. Monthly 69 (1962), 288–289.CrossRefGoogle Scholar
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