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Integrals allied to Airy's integrals

Published online by Cambridge University Press:  18 May 2009

T. M. Macrobert
T. M. Macrobert
Affiliation:
The University Glasgow
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Airy's integrals

can be expressed ([1], [2]) in terms of Bessel functions. In this paper integrals of the types

are discussed. Various subsidiary formulae are given in § 2, some integrals of the type

are evaluated in § 3, and from these the integrals of the Airy type are derived in § 4.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 3 , Issue 2 , June 1957 , pp. 91 - 93
Copyright
Copyright © Glasgow Mathematical Journal Trust 1957

References

REFERENCES

1.Watson, G. N., A treatise on the theory of Bessel functions (2nd edition, Cambridge, 1944), 188–190.Google Scholar
2.MacRobert, T. M., Functions of a complex variable (4th edition, London, 1954), 402–403.Google Scholar
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.CrossRefGoogle Scholar