TY - JOUR ID - 60177 TI - On Certain Results Involving a Multiplier Transformation in a Parabolic Region JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Brar, Richa AU - Billing, Sukhwinder Singh AD - Department of Mathematics, Sri Guru Granth Sahib World University , Fatehgarh Sahib-140407, Punjab, India. Y1 - 2018 PY - 2018 VL - 4 IS - 2 SP - 123 EP - 143 KW - Analytic function KW - parabolic starlike function KW - uniformly convex function KW - differential subordination KW - multiplier transformation DO - 10.22034/kjm.2018.59751 N2 - 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. UR - https://www.kjm-math.org/article_60177.html L1 - https://www.kjm-math.org/article_60177_7ab19b219bbfb0fdfc4ef62533b63751.pdf ER -