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Mark V. DeFazio - The behaviour of the complex zeroes of the Laguerre polynomial
| MARK V. DEFAZIO, Department of Mathematics and Statistics, York University, Toronto, Ontario M3J 1P3, Canada |
| The behaviour of the complex zeroes of the Laguerre polynomial |
When
, the behaviour of the zeroes of
is well understood. There are n positive distinct real zeroes and
they are continuously increasing functions of 
. When
, these zeroes can be complex and their behaviour as varies
is not well known. I will present results on the location of the
complex zeroes of
and describe their behaviour as
varies.
