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Growth of Solutions of Complex Differential Equations with Solutions of Another Equation as Coefficients

Growth of Solutions of Complex Differential Equations with Solutions of Another Equation as... We study the growth of solutions of $$f''+A(z)f'+B(z)f=0$$ f ′ ′ + A ( z ) f ′ + B ( z ) f = 0 , where A(z) and B(z) are non-trivial solutions of another second-order complex differential equations. Some conditions guaranteeing that every non-trivial solution of the equation is of infinite order are obtained, in which the notion of accumulation rays of the zero sequence of entire functions is used. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Growth of Solutions of Complex Differential Equations with Solutions of Another Equation as Coefficients

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-018-0245-3
Publisher site
See Article on Publisher Site

Abstract

We study the growth of solutions of $$f''+A(z)f'+B(z)f=0$$ f ′ ′ + A ( z ) f ′ + B ( z ) f = 0 , where A(z) and B(z) are non-trivial solutions of another second-order complex differential equations. Some conditions guaranteeing that every non-trivial solution of the equation is of infinite order are obtained, in which the notion of accumulation rays of the zero sequence of entire functions is used.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jun 5, 2018

References