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On the Complementary Functions of the Fresnel Integrals

Published online by Cambridge University Press:  20 November 2018

Erwin Kreyszig
Erwin Kreyszig*
Affiliation:
University of Ottawa and Ohio State University, Columbus, Ohio
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1. Introduction. As is well known, the functions

(1.1)

have various applications in theoretical physics and engineering. It is thus worthwhile to study their behaviour for real and complex values of the argument.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 500 - 510
Copyright
Copyright © Canadian Mathematical Society 1957

References

1. Kreyszig, E., On the zeros of the Fresnel integrals, Can. J. Math., 9 (1957), 118–131.Google Scholar
2. Kreyszig, E., Ueber den allgemeinen Integralsinus Si(z,α), Acta math., 85 (1951), 117–181.Google Scholar
3. Kreyszig, E., Der allgemeine Integralkosinus Ci(α,a), Acta math., 89 (1953), 107–131.Google Scholar
4. Lommel, E., Beugungserscheinungen einer kreisrunden Oeffnung und eines kreisrunden Schirmchens, Abh. Bayr. Akad. Wiss. Muenchen 15 (1886), 231–330 Google Scholar