@article { author = {Brar, Richa and Billing, Sukhwinder}, title = {On Certain Results Involving a Multiplier Transformation in a Parabolic Region}, journal = {Khayyam Journal of Mathematics}, volume = {4}, number = {2}, pages = {123-143}, year = {2018}, publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)}, issn = {2423-4788}, eissn = {2423-4788}, doi = {10.22034/kjm.2018.59751}, abstract = {We, here, obtain certain results in subordination form involving a multiplier transformation in a parabolic region. In particular, using different dominants in our main result, we derive certain results on parabolic starlikeness, starlikeness, convexity, uniform convexity, strongly starlikeness, close-to-convexity and uniform close-to-convexity of p-valent analytic functions as well as univalent analytic functions.}, keywords = {Analytic function,parabolic starlike function,uniformly convex function,differential subordination,multiplier transformation}, url = {https://www.kjm-math.org/article_60177.html}, eprint = {https://www.kjm-math.org/article_60177_7ab19b219bbfb0fdfc4ef62533b63751.pdf} }