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SUMMARY:Novel exact and asymptotic series with error functions\, for a fun
 ction involved  in diffraction theory: the incomplete Bessel function - J.
 M.L. Bernard (ENS de Cachan)
DTSTART:20190812T130000Z
DTEND:20190812T133000Z
UID:TALK128359@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The incomplete Bessel function\, closely related to incomplete
  Lipschitz-Hankel integrals\, is a well known known special function commo
 nly encountered in many problems of physics\, in particular in wave propag
 ation and diffraction [1]-[5].   We present here novel exact and asymptoti
 c series with error functions\, for arbitrary complex arguments and intege
 r order\, derived from our recent publication [5].  &nbsp\;<br><br>  [1] S
 himoda M\, Iwaki R\, Miyoshi M\, Tretyakov OA\, &#39\;Wiener-hopf analysis
  of transient phenomenon   caused by time-varying resistive screen in wave
 guide&#39\;\, IEICE transactions on electronics\, vol. E85C\, 10\, pp.1800
 -1807\, 2002  <br>[2] DS Jones\, &#39\;Incomplete Bessel functions. I&#39\
 ;\, proceedings of the Edinburgh Mathematical Society\, 50\, pp 173-183\, 
 2007  <br>[3] MM Agrest\, MM Rikenglaz\, &#39\;Incomplete Lipshitz-Hankel 
 integrals&#39\;\, USSR Comp. Math. and Math Phys.\,   vol 7\, 6\, pp.206-2
 11\, 1967  <br>[4] MM Agrest amd MS Maksimov\, &#39\;Theory of incomplete 
 cylinder functions and their applications&#39\;\, Springer\, 1971.  <br>[5
 ] JML Bernard\, &#39\;Propagation over a constant impedance plane: arbitra
 ry primary sources and impedance\, analysis   of cut in active case\, exac
 t series\, and complete asymptotics&#39\;\, IEEE TAP\, vol. 66\, 12\, 2018
LOCATION:Seminar Room 1\, Newton Institute
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