@article{Malik_Dar_Sharma_2021, title={Certain Properties of a Generalized Class of Analytic Functions Involving Some Convolution Operator}, volume={7}, url={https://earthlinepublishers.com/index.php/ejms/article/view/346}, DOI={10.34198/ejms.7121.4976}, abstractNote={<p>We use the concept of convolution to introduce and study the properties of a unified family <sub><img src="/public/site/images/ejms/2021-05-28_21_54_19-Adobe_Acrobat_Professional_-_[EJMS070120214976.pdf]_1.png"></sub>&nbsp;consisting of uniformly <em>k</em>-starlike and <em>k</em>-convex functions of complex order <sub><img src="/public/site/images/ejms/2021-05-28_21_54_48-Adobe_Acrobat_Professional_-_[EJMS070120214976.pdf]_.png"></sub> and type <sub><img src="/public/site/images/ejms/2021-05-28_21_55_03-Adobe_Acrobat_Professional_-_[EJMS070120214976.pdf]_.png"></sub> The family <sub><img src="/public/site/images/ejms/2021-05-28_21_55_28-Adobe_Acrobat_Professional_-_[EJMS070120214976.pdf]_.png"></sub> is a generalization of several other families of analytic functions available in literature. Apart from discussing the coefficient bounds, sharp radii estimates, extreme points and the subordination theorem for this family, we settle down the Silverman’s conjecture for integral means inequality. Moreover, invariance of this family under certain well-known integral operators is also established in this paper. Some previously known results are obtained as special cases.</p&gt;}, number={1}, journal={Earthline Journal of Mathematical Sciences}, author={Malik, Faroze Ahmad and Dar, Nusrat Ahmed and Sharma, Chitaranjan}, year={2021}, month={May}, pages={49-76} }