On a converse of Laguerre's theorem
Electronic transactions on numerical analysis, Tome 5 (1997), pp. 7-17
The problem of characterizing all real sequences 1 with the property that if f g px = k P P 0 k = n n k is any real polynomial, then k has no more nonreal zeros than , remains open.
Classification :
26C10, 30D15, 30D10
Keywords: Laguerre-P$\acute $olya class, entire functions, zero distribution, multiplier sequences
Keywords: Laguerre-P$\acute $olya class, entire functions, zero distribution, multiplier sequences
@article{ETNA_1997__5__a5,
author = {Craven, Thomas and Csordas, George},
title = {On a converse of {Laguerre's} theorem},
journal = {Electronic transactions on numerical analysis},
pages = {7--17},
year = {1997},
volume = {5},
zbl = {0911.30020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_1997__5__a5/}
}
Craven, Thomas; Csordas, George. On a converse of Laguerre's theorem. Electronic transactions on numerical analysis, Tome 5 (1997), pp. 7-17. http://geodesic.mathdoc.fr/item/ETNA_1997__5__a5/