Abdallah El Farissi

Complex oscillation of differential polynomials in the unit disc

We consider the complex differential equations f″ + A1(z)f′ + A0(z)f = F and where A0 ≢ 0, A1 and F are analytic functions in the unit disc Δ = {z: |z| < 1}. We obtain results on the order and the exponent of convergence of zero-points in Δ of the differential polynomials gf = d2f″ + d1f′ + d0f with non-simultaneously vanishing analytic coefficients d2, d1, d0. We answer a question posed by J. Tu and C. F. Yi in 2008 for the case of the second order linear differential equations in the unit disc.

Some Extension Results in Classical Integral Inequalities

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