Growth of solutions of second order linear differential equations with extremal functions for Denjoy's conjecture as coefficients

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Published: Jun 30, 2016
DOI: https://doi.org/10.5556/j.tkjm.47.2016.1914
Keywords:
Complex differential equation Borel exceptional value Infinite order Denjoy's conjecture Deficient value

Main Article Content

Jianren Long

Abstract

The classical problem of finding conditions on the entire coefficients $A(z)$ and $B(z)$ guaranteeing that all nontrivial solutions of $f''+A(z)f'+B(z)f=0$ are of infinite order is discussed. Some such conditions which involve deficient value, Borel exceptional value and extremal functions for Denjoy's conjecture are obtained.

Article Details

How to Cite
Long, J. (2016). Growth of solutions of second order linear differential equations with extremal functions for Denjoy’s conjecture as coefficients. Tamkang Journal of Mathematics, 47(2), 237–247. https://doi.org/10.5556/j.tkjm.47.2016.1914
Issue
Vol. 47 No. 2 (2016)
Section
Papers
Author Biography

Jianren Long

School ofMathematical Science, Guizhou Normal University, 550001, Guiyang, P.R. China. Department of Physics andMathematics, University of Eastern Finland, P.O. Box 111, 80101, Joensuu, Finland.

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