H. Render

will speak on

The differential equation of second order for the cross product of Bessel functions

Time: 4:15PM
Date: Tue 14th November 2017
Location: SCN 125 [map]

Abstract: Bessel functions play an important role for problems with cylindrical
symmetry. The cross product of Bessel functions is used for solving
boundary value problems of an annular cylinder. In this talk we
shall present the construction of a second order differential
equation for the cross product. The method applies in a more general
setting and various examples will be given. For the case of
half-integers the potential of the cross product can be explicitly
computed and examples show that the potential seems to have a special
form, having a unique maximum at one point $x_0$ and it is increasing
for $x < x_0$ and decreasing for $x > x_0$.

(This talk is part of the Analysis series.)

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