Wu Xiubi

• MD
• Guizhou University

We study the growth of solutions of f′′+A(z)f′+B(z)f=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f''+A(z)f'+B(z)f=0$$\end{document}, where A(z) and B(z) are non-tr...

We prove that every nontrivial solution of f" + A(z)f' + Q(z)f = 0 is of infinite order, where A(z) is an entire function satisfying λ(A) < ρ(A) < ∞ and some restrictions, and Q(z) is a non-constant polynomial. This result gives partial solutions to a question posed by Gundersen. Related results are also given.

Some new conditions on coefficient functions Ai(z), which will guarantee all nontrivial solutions of f⁽ⁿ⁾+An-1(z)f⁽ⁿ⁻¹⁾+….+A0(z)f=0 are of infinite order, are found in this paper. The first condition involves two classes of extremal functions for some inequalities about finite asymptotic values and deficient values. The second condition assumes tha...

We study the classical problem of finding conditions on the entire coefficients for all nontrivial solutions of f״ + A(z)f׳ + B(z)f = 0 to be of infinite order. Two distinct approaches are used. In the first approach the coefficient A(z) is a solution of the differential equation w״ + P(z)w = 0, where P(z) is a polynomial. This assumption yields st...

Let f¬≡0 be a solution of f '' +P(z)f=0, where P(z) is a polynomial. Then the set of accumulation lines of zero-sequence is a subset of the Borel directions of f. Let f 1 and f 2 be two linearly independent solutions of f '' +P(z)f=0, where P(z) is a polynomial of degree n and set E=f 1 f 2 . Then, for every accumulation line argz=θ of zero-sequenc...

The Borel exceptional values and the exponents of convergence of poles, zeros and fixed points of finite order transcendental meromorphic solutions for certain difference equations are estimated. The results can be used to investigate the existence of solutions for some difference equations.