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X-WR-CALNAME:Centre for Mathematical Sciences
X-ORIGINAL-URL:http://math-sciences.org
X-WR-CALDESC:Events for Centre for Mathematical Sciences
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TZID:UTC
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TZOFFSETFROM:+0000
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DTSTART:20140101T000000
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BEGIN:VEVENT
DTSTART;TZID=UTC:20140203T130000
DTEND;TZID=UTC:20140203T140000
DTSTAMP:20220527T213920
CREATED:20151212T222102Z
LAST-MODIFIED:20151212T222210Z
UID:492-1391432400-1391436000@math-sciences.org
SUMMARY:Yaun Quan
DESCRIPTION:Finding all Bessel type solutions for linear differential equations\nA linear differential equation with rational function coefficients has a Bessel type solution when it is solvable in terms of Bessel functions Bv(x)\, derivative\, change of variables x->f(x)\, algebraic operations and exponential integrals. For second order equations with rational function coefficients\, f must be a rational function or the square root of a rational function. Previous work has demonstrated how to compute Bessel type solutions if an only if f is a rational function. However\, the extension to generality is under explored\, particularly when f is the square root of a rational function. In this talk we will demonstrate a complete algorithm to find all the Bessel type solutions for linear differential equations. The algorithm is illustrated with application using Maple.
URL:http://math-sciences.org/event/yaun-quan/
CATEGORIES:Pure Mathematics,Seminars
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