Slow growth of power series convergent in the unit disk |
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| Author |
Department of Mechanics and Mathematics, Lviv State University.
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| Abstract |
The conditions on Taylor coefficients of an analytic in the unit disk function
are found in order that the logarithm of maximal term is a slowly increasing
function. A problem of slow increasing of maximum modulus is investigated.
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| Keywords |
Taylor coefficients, analytic functions in unit disk, maximal term, logarithm of maximal term, slowly increasing functions, growth conditions, maximum modulus
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| DOI |
doi:10.30970/ms.11.2.221-224
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Reference |
No references.
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| Pages |
221-224
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| Volume |
11
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| Issue |
2
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
| Table of content of issue |