On the Fresnel integrals and the convolution
journal contribution
posted on 2016-01-04, 15:10 authored by A. Kiliçman, Brian FisherThe Fresnel cosine integral C(x), the Fresnel sine integral S(x), and the associated functions C+(x), C−(x), S+(x), and S−(x) are defined as locally summable functions on the real line. Some convolutions and neutrix convolutions of the Fresnel cosine integral and its associated functions with x+r and xr are evaluated.
Funding
This research was carried out during the second author’s visit to the University of Putra Malaysia (UPM) and partially supported under the Grant IRPA 09-02-04-0259-EA001. The authors greatly acknowledge the partial support.
History
Citation
International Journal of Mathematics and Mathematical Sciences Volume 2003 (2003), Issue 41, Pages 2635-2643Version
- VoR (Version of Record)
Published in
International Journal of Mathematics and Mathematical Sciences Volume 2003 (2003)Publisher
Hindawi Publishing Corporationissn
0161-1712eissn
1687-0425Acceptance date
2002-11-11Copyright date
2003Available date
2016-01-04Publisher DOI
Publisher version
http://www.hindawi.com/journals/ijmms/2003/217401/abs/Notes
2000 Mathematics Subject Classification: 33B10, 46F10Language
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