On the growth of entire functions of zero order
1 Department of Mathematics and Economics, Drohobych Ivan Franko state Pedagogical University, Lviv region, Drohobych, 82100, Ukraine
2 Department of Higher Mathematics named after Prof. Mozhara V.I., Kyiv National University of Food Technologies, Kyiv, 01033, Ukraine
Keywords:
Taylor coeffcients, entire functions of zero order
Abstract
For an entire function of zero order a connection between the growth of the maximum of modulus and the decrease of Taylor coeffcients and the zeroes distribution is established in terms of a convergence class.
References
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[3] Nevanlinna R. Single-valued analytical functions. – M.: GITL, 1941. – 292 p.
[4] Mulyava O.M. On convergence classes of Dirichlet series // Ukr. Mat. Zh.–1999.–51, N 11. – P. 1485–1494.
[5] Goldberg A.A., Zabolotsky N.V. Concentration index of a subharmonic function of zero order // Mat. notes. – 1983. – 34, N 2. – P. 227–236.
Cite
- ACS Style
- Gal, Y.M.; Mulyava, O.M. On the growth of entire functions of zero order. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Gal YM, Mulyava OM. On the growth of entire functions of zero order. Bukovinian Mathematical Journal. 2018; 1(111).
- Chicago/Turabian Style
- Yuriy Mykhailovych Gal, Oksana Myroslavivna Mulyava. 2018. "On the growth of entire functions of zero order". Bukovinian Mathematical Journal. 1 no. 111.
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