M. Mhamdi

collaborators

2 papers

math.CV2023

The first partial derivatives of generalized harmonic functions

Adel Khalfallah, Mohamed Mhamdi

Suppose $α, β \in R \ Z^{-}$ such that $α + β > - 1$ and $1 \leq p \leq \infty$ . Let $u = P_{α, β} [f]$ be an $(α, β)$ -harmonic mapping on $D$ , the unit disc of…

math.CV2020

Schwarz Lemma for mappings satisfying Biharmonic Equations

Adel Khalfallah, Fathi Haggui, Mohamed Mhamdi

In this paper, we establish some Schwarz type lemmas for mappings $Φ$ satisfying the inhomogeneous biharmonic Dirichlet problem $Δ (Δ (Φ)) = g$ in $D$ , $Φ = f$ on $\mathbb{T}…