Abstract
We consider an infinite order entire functions f(z), whose zeros z1(f), z2(f), ... are enumerated in the increasing order. For a nondecreasing sequence {pk} of positive numbers, a bound for the sums {equation presented} is suggested. That bound gives us conditions providing the convergence of the corresponding series.
Original language | English |
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Pages (from-to) | 100-106 |
Number of pages | 7 |
Journal | Communications in Mathematical Analysis |
Volume | 13 |
Issue number | 1 |
State | Published - 1 Dec 2012 |
Keywords
- Entire function
- Infinite order
- Sum of zeros
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Computational Mathematics
- Applied Mathematics