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Evaluation of the fourier transform of e(-ux2) for imaginary U
(Springer Science and Business Media Deutschland GmbH, 2006)
It is shown that the Fourier integral of the function exp(-ux(2)) exists not only for u satisfying Re u gt 0 but also for u that satisfies Re u >= 0. The proof is given by evaluating this integral for imaginary u.
An intensity based optical fiber sensor for low velocity impact detection in unidirectional composites
(Advanced Composite Materials, 2000)
Prevention df serious damage of composite structures might be achieved by inspecting the structural integrity during exploitation. This paper decribes the design and development of a promising optical fiber sensor system ...
Coherent Beam Splitting by a Thin Grating
(Polish Academy of Sciences, 2009)
The wide use of beam splitters in quantum interferometry, attosecond metrology, modern quantum information processing, foundations of quantum mechanics, has been based on coherence of beams emerging from a beam splitter. ...
Univalency and convolution results associated with confluent hypergeometric functions
(Houston Journal of Mathematics, 2009)
Given the confluent hypergeometric functions Φ(a; c; z), we
place conditions on a and c to guarantee that zΦ(a; c; z) will be in two sub-
classes of univalent functions. In addition, we obtain conditions to obtain
some ...