Let f be an entire function of the exponential type, such that the indicator diagram is in , . Then the upper density of f is bounded by cσ, where is the unique solution of the equation
Soit f une fonction entière d'indicatrice contenue dans l'intervalle , . Alors la borne supérieure des zéros de f ne dépasse pas cσ, où est la solution d'équation,
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Alexandre Eremenko 1; Peter Yuditskii 2
@article{CRMATH_2008__346_15-16_825_0, author = {Alexandre Eremenko and Peter Yuditskii}, title = {An extremal problem for a class of entire functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {825--828}, publisher = {Elsevier}, volume = {346}, number = {15-16}, year = {2008}, doi = {10.1016/j.crma.2008.06.009}, language = {en}, }
Alexandre Eremenko; Peter Yuditskii. An extremal problem for a class of entire functions. Comptes Rendus. Mathématique, Volume 346 (2008) no. 15-16, pp. 825-828. doi : 10.1016/j.crma.2008.06.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2008.06.009/
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