TY - JOUR AU - Al-Shaqsi, K. AU - Al-Khal, R. PY - 2017 TI - Polyharmonic functions with negative coefficients JO - Journal of Mathematics and Computer Science SP - 437-447 VL - 17 IS - 4 AB - A 2p times continuously differentiable complex-valued mapping \(F=u+i v\) in a domain \( \mathcal D \subset \mathbb C\) is polyharmonic if \(F\) satisfies the polyharmonic equation \(\underbrace{\Delta\cdot\cdot\cdot\Delta}_\text{p} F= 0\), where \(p \in \mathbb N^{+}\) and \(\Delta\) represents the complex Laplacian operator. The main aim of this paper is to introduce a subclasses of polyharmonic mappings. Coefficient conditions, distortion bounds, extreme points, of the subclasses are obtained. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.017.04.01 DO - 10.22436/jmcs.017.04.01 ID - Al-Shaqsi2017 ER -