Geodesic
Two integral transform pairs involving hypergeometric functions†
Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 42-44

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

In this note, we first establish an integral transform pair where the kernel of each integral involves the Gaussian hypergeometric function. Special cases of Theorem 1 have been studied by several authors [1, 2, 5, 6]. In Theorem 2 a similar integral transform pair involving a confluent hypergeometric function is given. 
Wimp, Jet. Two integral transform pairs involving hypergeometric functions†. Glasgow mathematical journal, Tome 7 (1965) no. 1, pp. 42-44. doi: 10.1017/S2040618500035164
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[1] 1.Buschman, R. G., An inversion integral for a general Legendre transformation, S.I.A.M. Rev. 5 (1963), 232–233. Google Scholar

[2] 2.Buschman, R. G., An inversion integral, Proc. Amer. Math. Soc. 13 (1962), 675–677. Google Scholar | DOI

[3] 3.Erdélyi, A. et al. , Tables of integral transforms, Vol. I (New York, 1954), Ch. 4. Google Scholar

[4] 4.Erdélyi, A. et al. , Higher transcendental functions, Vol. I (New York, 1953). Google Scholar

[5] 5.Higgins, T. P., An inversion integral for a Gegenbauer transformation, J. Soc. Indust. Appl. Math. 11 (1963), 886–893. Google Scholar | DOI

[6] 6.Li, Ta, A new class of integral transforms, Proc. Amer. Math. Soc. 11 (1960), 290–298. Google Scholar | DOI

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