Growth of Solutions of Complex Differential Equations in a Sector of the Unit Disc

In this paper, we deal with the growth of solutions of homogeneous linear complex differential equation by using the concept of lower [\textit{p,q}]-order and lower [\textit{p,q}]-type in a sector of the unit disc instead of the whole unit disc, and we obtain similar results as in the case of the unit disc.Comment: 21 page

On Picard Value Problem of Some Difference Polynomials

In this paper, we study the value distribution of zeros of certain nonlinear difference polynomials of entire functions of finite order.Comment: 17 page

Entire Functions Sharing Small Functions With Their Difference Operators

We investigate uniqueness problems for an entire function that shares two small functions of finite order with their difference operators. In particular, we give a generalization of a result in $[2]$.Comment: 14 pages, accepted for publicatio

The fixed points and iterated order of some differential polynomials

summary:This paper is devoted to considering the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation $$f^{^{\prime \prime }}+A_{1}(z) f^{^{\prime }} + A_{0}(z) f=F,$$ where $A_{1}(z)$, $A_{0}(z)$ $(\not\equiv 0)$, $F$ are meromorphic functions of finite iterated $p$-order

Nonhomogeneous linear differential polynomials generated by solutions of complex differential equations in the unit disc

See PDF

Differential polynomials generated by solutions of second order non-homogeneous linear differential equations

This paper is devoted to studying the growth and the oscillation of solutions of the second order non-homogeneous linear differential equation f′′ + Aea1z f′ + B(z) ea2z f = F(z) ea1z, where A, a1, a2 are complex numbers, B(z) (≢ 0) and F(z) (≢ 0) are entire functions with order less than one. Moreover, we investigate the growth and the oscillation of some differential polynomials generated by solutions of the above equation