The Laguerre inequality and the distribution of zeros of real entire functions are investigated with the aid of certain infinite-order differential operators. The paper includes new proofs, problems, conjectures and many illustrative examples and counterexamples.
@article{AMBP_2005__12_2_331_0, author = {George Csordas and Alain Escassut}, title = {The {Laguerre} inequality and the distribution of zeros of entire functions}, journal = {Annales math\'ematiques Blaise Pascal}, pages = {331--345}, publisher = {Annales math\'ematiques Blaise Pascal}, volume = {12}, number = {2}, year = {2005}, doi = {10.5802/ambp.210}, zbl = {1096.30023}, language = {en}, url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.210/} }
TY - JOUR AU - George Csordas AU - Alain Escassut TI - The Laguerre inequality and the distribution of zeros of entire functions JO - Annales mathématiques Blaise Pascal PY - 2005 SP - 331 EP - 345 VL - 12 IS - 2 PB - Annales mathématiques Blaise Pascal UR - https://ambp.centre-mersenne.org/articles/10.5802/ambp.210/ DO - 10.5802/ambp.210 LA - en ID - AMBP_2005__12_2_331_0 ER -
%0 Journal Article %A George Csordas %A Alain Escassut %T The Laguerre inequality and the distribution of zeros of entire functions %J Annales mathématiques Blaise Pascal %D 2005 %P 331-345 %V 12 %N 2 %I Annales mathématiques Blaise Pascal %U https://ambp.centre-mersenne.org/articles/10.5802/ambp.210/ %R 10.5802/ambp.210 %G en %F AMBP_2005__12_2_331_0
George Csordas; Alain Escassut. The Laguerre inequality and the distribution of zeros of entire functions. Annales mathématiques Blaise Pascal, Volume 12 (2005) no. 2, pp. 331-345. doi : 10.5802/ambp.210. https://ambp.centre-mersenne.org/articles/10.5802/ambp.210/
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