Integrals allied to Airy's integrals
Glasgow mathematical journal, Tome 2 (1957) no. 2, pp. 91-93
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Airy's integralscan be expressed ([1], [2]) in terms of Bessel functions. In this paper integrals of the typesare discussed. Various subsidiary formulae are given in § 2, some integrals of the typeare evaluated in § 3, and from these the integrals of the Airy type are derived in § 4.
Macrobert, T. M. Integrals allied to Airy's integrals. Glasgow mathematical journal, Tome 2 (1957) no. 2, pp. 91-93. doi: 10.1017/S2040618500033487
@article{10_1017_S2040618500033487,
author = {Macrobert, T. M.},
title = {Integrals allied to {Airy's} integrals},
journal = {Glasgow mathematical journal},
pages = {91--93},
year = {1957},
volume = {2},
number = {2},
doi = {10.1017/S2040618500033487},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500033487/}
}
[1] 1.Watson, G. N., A treatise on the theory of Bessel functions (2nd edition, Cambridge, 1944), 188–190. Google Scholar
[2] 2.MacRobert, T. M., Functions of a complex variable (4th edition, London, 1954), 402–403. Google Scholar
[3] 3.Ragab, F. M.A product of two E-functions expressed as a sum of two E-functions, Proc. Glasgow Math. Assoc. 2 (1955), 125. Google Scholar | DOI
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