On zeros and Taylor coefficients of entire function of logarithmic growth

DOI10.13108/2024-16-2-15MaRDI QIDQ6644300

Gregoriĭ Genrikhovich Braĭchev

Publication date: 27 November 2024

Published in: Ufimskiĭ Matematicheskiĭ Zhurnal (Search for Journal in Brave)

zbMATH Keywords

entire functionTaylor coefficientslogarithmic typelogarithmic ordersequence of zeroesHadamard rectified Taylor coefficients

Mathematics Subject Classification ID

Power series (including lacunary series) in one complex variable (30B10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Cites Work

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• Concentration index of a subharmomic function of zeroth order
• Leçons sur les fonctions entières. Deuxième édition revue et augmenté d'une note de M. G. Valiron. (Collection de monographies sur la théorie des fonctions publiée sous la direction de M. Émile Borel.)
• Sur le fonctions entières d'ordre nul et d'ordre fini et en particulier les fonctions à correspondance régulière.
• On the connection between the growth of zeros and the decrease of Taylor coefficients of entire functions
• Joint estimates for zeros and Taylor coefficients of entire function
• ON STOLZ'S THEOREM AND ITS CONVERSION

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