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

Abstract

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This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation where are meromorphic functions of finite order in the complex plane.

How to cite

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LATREUCH, 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 -

References

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