[PDF] Top 20 GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE
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GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE
... all solutions of ...infinite order if some of coefficients are ...the growth of solutions of equations ...of meromorphic functions (see [10, 14, 18, 22]). The term ... See full document
19
On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... of meromorphic functions is a powerful tool in the field of complex differential ...differential equations in the complex plane by using Nevanlinna theory; see, for example ...The ... See full document
13
Growth and Complex Oscillation of Linear Differential Equations with Meromorphic Coefficients of [p,q] − ϕ Order
... their growth. In [16], in order to maintain accordance with general definitions of the entire function f of iterated p−order [13, 14], Liu-Tu- Shi gave a minor modification of the original definition ... See full document
17
On the growth of solutions of higher order complex linear differential equations
... There are many authors investigated the growthiof solutions of (1.1). Z. X. Chen and C.C. Yang in 2002 [12] proved that 𝜌 2 (𝑓) = 𝜌(𝐴 0 ) provided that the order of 𝐴 0 dominated the maximum order of ... See full document
5
Properties of Solutions of Complex Differential Equations in the Unit Disc
... the complex oscillation of differential polynomial generated by meromorphic and analytic solutions of second order linear differential equations with ... See full document
15
On the growth of solutions of second order complex differential equation with meromorphic coefficients
... infinite order. However, there are some equations of the form ...finite order; for example, f(z) = e z satisfies f ’’ + e -z f ’ - (e -z + 1)f = ...infinite order? There has been much work on ... See full document
13
Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients
... Recently, meromorphic solutions of complex difference equations have become a sub- ject of great interest from the viewpoint of Nevanlinna theory due to the apparent role of the existence of ... See full document
13
3. Growth of solutions of linear diferential equations in the unit disk
... infinite order? Many authors have investigated the growth of the solutions of complex linear differential equations in C , see [2, 3, 4, 5, 6, 10, 15, 21, 22, 28, ...the ... See full document
13
Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... These results were improved by Bela¨ıdi in [2, 3] by considering more general conditions to higher order linear differential equations with entire coefficients. Recently in [8] Chen ... See full document
8
Some results of meromorphic solutions of second order linear differential equations
... of meromorphic func- tions (see [–]). The term ‘meromorphic function’ will mean meromorphic in the whole complex plane ...the order of growth of a meromorphic ... See full document
14
Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations
... of meromorphic func- tions (see [–]). The term ‘meromorphic function’ will mean meromorphic in the whole complex plane C ...the order of growth of a meromorphic ... See full document
10
Complex linear differential equations with certain analytic coefficients of [p,q] order in the unit disc
... an increasing interest in studying the interaction between the analytic coefficients of [p, q]- order and the solutions of (.) and (.) (see [–]). In this paper, the authors continue to focus on ... See full document
12
Results on meromorphic solutions of linear difference equations
... a meromorphic function means meromorphic in the complex plane, and we assume the reader is familiar with the basic notions of Nevanlinna theory (see, ...the order of growth of f ... See full document
7
8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations
... of meromorphic functions (see [21, 25]). The term “meromorphic function” will mean meromorphic in the whole complex plane C ...the order of growth of a meromorphic ... See full document
11
Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... the growth of meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ... See full document
14
On the Growth of Solutions of Some Second Order Linear Differential Equations
... Theorem A states that when σQ 1, 1.3 may have finite-order solutions. We go deep into the problem: what condition in Qz when σQ 1 will guarantee every solution f / ≡ 0 of 1.3 has infinite order? And ... See full document
9
On the hyper order of solutions of two class of complex linear differential equations
... of solutions of two class of complex linear differential ...the growth of solutions of higher order and certain second order linear differential equations, and ... See full document
12
Growth of the Entire or Meromorphic Solutions of Differential-Difference Equations
... A finite value a is called the Picard exceptional value of f, if f - a has no zeros. The Picard theorem shows that a transcendental entire function has at most one Picard exceptional value, a transcendental ... See full document
10
On the growth of solutions of certain higher order linear differential equations
... Proof of Theorem . Let f be a solution of (.), then f is a nonzero entire function. Using a similar proof to Step in the proof of Theorem ., we obtain that σ (f ) ≥ n. Now we prove that σ(f ) = ∞ . Suppose that ... See full document
14
On the growth of solutions of a class of second order complex differential equations
... To state our theorem, we give some remarks first. Let P(z) = (α + iβ)z n + · · · (α, β ∈ R) be a non-constant polynomial. Denote δ(P, θ ) = α cosnθ – β sin nθ , let deg P be the degree of P(z), (θ , ε, r) = {z : θ – ε ... See full document
9
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