TY - JOUR AU - El-Deeb, S. M. AU - Murugusundaramoorthy, G. AU - Alburaikan, A. PY - 2022 TI - \(p\)-Valent strongly starlike and strongly convex functions connected with linear differential Borel operator JO - Journal of Mathematics and Computer Science SP - 137--148 VL - 26 IS - 2 AB - In this paper, we define two subclasses \(\mathcal{S}^{\ast }\left( \alpha ,m,\delta ,p,q,\lambda ,\gamma ,\beta \right) \) and \(\mathcal{K}\left( \alpha ,m,\delta ,p,q,\lambda ,\gamma ,\beta \right) \) of strongly starlike and strongly convex functions of order \(\beta \) and type \(\gamma \ \)by using the linear \(q\)-differential Borel operator. We also derive some interesting properties, such as inclusion relationships of these classes and the integral operator \(\mathcal{J}_{\mu ,p}\). SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.026.02.04 DO - 10.22436/jmcs.026.02.04 ID - El-Deeb2022 ER -