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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Novel exact and asymptotic series with error funct
ions\, for a function involved in diffraction the
ory: the incomplete Bessel function - J.M.L. Berna
rd (ENS de Cachan)
DTSTART;TZID=Europe/London:20190812T140000
DTEND;TZID=Europe/London:20190812T143000
UID:TALK128359AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/128359
DESCRIPTION:The incomplete Bessel function\, closely related t
o incomplete Lipschitz-Hankel integrals\, is a wel
l known known special function commonly encountere
d in many problems of physics\, in particular in w
ave propagation and diffraction [1]-[5]. We pres
ent here novel exact and asymptotic series with er
ror functions\, for arbitrary complex arguments an
d integer order\, derived from our recent publicat
ion [5].  \;
[1] Shimoda M\, Iwaki R
\, Miyoshi M\, Tretyakov OA\, '\;Wiener-hopf an
alysis of transient phenomenon caused by time-va
rying resistive screen in waveguide'\;\, IEICE
transactions on electronics\, vol. E85C\, 10\, pp.
1800-1807\, 2002
[2] DS Jones\, '\;Incompl
ete Bessel functions. I'\;\, proceedings of the
Edinburgh Mathematical Society\, 50\, pp 173-183\
, 2007
[3] MM Agrest\, MM Rikenglaz\, '\;I
ncomplete Lipshitz-Hankel integrals'\;\, USSR C
omp. Math. and Math Phys.\, vol 7\, 6\, pp.206-2
11\, 1967
[4] MM Agrest amd MS Maksimov\,
9\;Theory of incomplete cylinder functions and the
ir applications'\;\, Springer\, 1971.
[5]
JML Bernard\, '\;Propagation over a constant im
pedance plane: arbitrary primary sources and imped
ance\, analysis of cut in active case\, exact se
ries\, and complete asymptotics'\;\, IEEE TAP\,
vol. 66\, 12\, 2018
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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