Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2021; 58(6): 1495-1506

Online first article July 5, 2021      Printed November 30, 2021

https://doi.org/10.4134/BKMS.b201051

Copyright © The Korean Mathematical Society.

The growth of solutions of complex differential equations with entire coefficient having finite deficient value

Guowei Zhang

Anyang Normal University

Abstract

Go to

The growth of solutions of second order complex differential equations $f''+A(z)f'+B(z)f=0$ with transcendental entire coefficients is considered. Assuming that $A(z)$ has a finite deficient value and that $B(z)$ has either Fabry gaps or a multiply connected Fatou component, it follows that all solutions are of infinite order of growth.

Keywords: Entire function, infinite order, complex differential equation

MSC numbers: 30D35, 34M10, 37F10

Supported by: This work was supported by the key scientific research project for higher education institutions of Henan Province, China (No. 18A110002) and training program for young backbone teachers of colleges and universities in Henan Province, China (No. 2017GGJS126).

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

more +