Exponential polynomials in the oscillation theory
نویسندگان
چکیده
Supposing that A(z) is an exponential polynomial of the formA(z)=H0(z)+H1(z)eζ1zn+⋯+Hm(z)eζmzn, where Hj's are entire and order <n, it demonstrated function H0(z) geometric location leading coefficients ζ1,…,ζm play a key role in oscillation solutions differential equation f″+A(z)f=0. The tools consist value distribution properties polynomials, elementary Phragmén-Lindelöf indicator function. In addition to results whole complex plane, on sectorial proved.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2021
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2020.10.015