Differential polynomials generated by some complex linear differential equations with meromorphic coefficients

Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of Linear Differential Equations

We investigate the complex oscillation of some differential polynomials generated by solutions of the differential equation f ′′ + A1(z)f ′ + A0(z)f = 0, where A1(z), A0(z) are meromorphic functions having the same finite iterated p-order.

On the Complex Oscillation of Higher Order Linear Differential Equations with Meromorphic Coefficients

In this paper, we investigate the growth of solutions and the existence of subnormal solutions for a class of higher order linear differential equations. We obtain some results which improve and extend the results of Chen-Shon [2] and Gundersen-Steinbart [5].

Relation between Small Functions with Differential Polynomials Generated by Solutions of Linear Differential Equations

and Applied Analysis 3 Theorem C. Let Aj z /≡ 0 j 0, 1 be entire functions with σ Aj < 1, and let a, b be complex constants such that ab / 0 and arga/ arg b or a cb 0 < c < 1 . If ψ z /≡ 0 is an entire function with finite order, then every solution f /≡ 0 of 1.2 satisfies λ f − ψ λ f ′ − ψ λ f ′′ − ψ ∞. Furthermore, let d0 z , d1 z ,and d2 z be polynomials that are not all equal to zero, and l...

Fractional differential equations with Legendre polynomials

Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients

In this paper, a new and efficient approach is applied for numerical approximation of the linear differential equations with variable coeffcients based on operational matrices with respect to Hermite polynomials. Explicit formulae which express the Hermite expansion coeffcients for the moments of derivatives of any differentiable function in terms of the original expansion coefficients of the f...