Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations
Zinelâabidine LATREUCH; Benharrat BELAÏDI
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2015)
- Volume: 54, Issue: 1, page 81-94
- ISSN: 0231-9721
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topLATREUCH, Zinelâabidine, and BELAÏDI, Benharrat. "Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 54.1 (2015): 81-94. <http://eudml.org/doc/271611>.
@article{LATREUCH2015,
abstract = {This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation \[ f^\{(k)\}+A\_\{k-1\}(z) f^\{(k-1)\}+\cdots +A\_1(z) f^\{\prime \}+A\_0(z) f=0, \]
where $A_\{i\}(z)$$(i=0,1,\cdots ,k-1)$ are meromorphic functions of finite order in the complex plane.},
author = {LATREUCH, Zinelâabidine, BELAÏDI, Benharrat},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Linear differential equations; finite order; hyper-order; exponent of convergence of the sequence of distinct zeros; hyper-exponent of convergence of the sequence of distinct zeros; linear differential equations; finite order; exponent of convergence of the sequence of distinct zeros; hyper-exponent of convergence of the sequence of distinct zeros},
language = {eng},
number = {1},
pages = {81-94},
publisher = {Palacký University Olomouc},
title = {Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations},
url = {http://eudml.org/doc/271611},
volume = {54},
year = {2015},
}
TY - JOUR
AU - LATREUCH, Zinelâabidine
AU - BELAÏDI, Benharrat
TI - Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2015
PB - Palacký University Olomouc
VL - 54
IS - 1
SP - 81
EP - 94
AB - This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation \[ f^{(k)}+A_{k-1}(z) f^{(k-1)}+\cdots +A_1(z) f^{\prime }+A_0(z) f=0, \]
where $A_{i}(z)$$(i=0,1,\cdots ,k-1)$ are meromorphic functions of finite order in the complex plane.
LA - eng
KW - Linear differential equations; finite order; hyper-order; exponent of convergence of the sequence of distinct zeros; hyper-exponent of convergence of the sequence of distinct zeros; linear differential equations; finite order; exponent of convergence of the sequence of distinct zeros; hyper-exponent of convergence of the sequence of distinct zeros
UR - http://eudml.org/doc/271611
ER -
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