In this paper, we study fixed points of solutions of the differential equation f+ A1 (z) f+ A0 (z) f= 0, where Aj (z)(≡ 0)(j= 0, 1) are transcendental meromorphic functions with finite order. Instead of looking at the zeros ...

In this article, we study the uniqueness of entire functions that share small functions of nite order with their di erence operators. In particular, we give a generalization of results in [3, 4, 13].

In this paper we investigate the complex oscillation and the growth of some differential polynomials generated by the solutions of the differential equation f''+ A1 (z) f'+ A0 (z) f= F, where A1 (z), A0 (z)(≡ 0), F are ...

This paper is devoted to studying the growth of solutions of the higher order nonhomogeneous linear differential equation f (k)+ A k− 1 f (k− 1)+...+ A 2 f"+(D 1 (z)+ A 1 (z) e P (z)) f'+(D 0 (z)+ A 0 (z) e Q (z)) f= F (k≥ ...

In this paper we give an estimate, from below and from above, of the mean value of the function f : [a, b] → R such that f is continuous on [a, b] and twice differentiable on (a, b).

n this paper we discuss the growth of solutions of the higher order nonhomogeneous linear differential equation f (k)+ Ak− 1f (k− 1)+...+ A2f′′+(D1 (z)+ A1 (z) eaz) f′+(D0 (z)+ A0 (z) ebz) f= F (k⩾ 2), where a, b are complex ...

In this paper, we investigate the relationship between solutions and their derivatives of the differential equation f(k) + Af = 0 for k > 2 and meromorphic functions of infinite iterated p-order, where A is a meromorphic ...

In this article, we discuss the growth of solutions of the second-order nonhomogeneous linear differential equation f + A1(z)eazf + A0(z)ebzf = F, where a, b are complex constants and Aj (z) ≡ 0 (j = 0, 1), and F ≡ 0 are ...

In this paper, we investigate the relationship between di¤erential polynomials and meromorphic functions of finite order of some second order linear di¤erential equations with meromorphic coe‰cients. We obtain some ...

In this paper, we give new extensions of the classical Hermite-Hadamard and Fejer integral inequalities. Some applications of these extensions are also presented.