A remark on the derivative of entire Dirichlet series

Author
O. V. Shapovalovs'kyi
Drohobych State Pedagogical University
Abstract
For an entire Dirichlet series with arbitrary exponents an estimate of the maximum modulus of the derivative is obtained.
Keywords
entire Dirichlet series, arbitrary exponents, estimate of the maximum modulus, derivative
DOI
doi:10.30970/ms.19.1.42-44
Reference
1. Bernstein S. Le cons sur les propriétes extrémales et meilleure approximation des fonctions analitiques d'une variable réelle. – Paris, 1926.

2. Kövari T. A note on entire functions // Acad. Sci. Hung. – 1957. – V. 8. – P. 87-90.

3. Шеремета М. Н., Федыняк С. И. О производной ряда Дирихле // Сиб. матем. журн. – 1998. – Т. 40, № 2. – C. 206-223.

4. Кусис П. Введение в теорию пространств ${\Bbb H}^p$. -- М.: Наука. -- 1984. -- 368 с.

Pages
42-44
Volume
19
Issue
1
Year
2003
Journal
Matematychni Studii
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