Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701On Certain Results Involving a Multiplier Transformation in a Parabolic Region1231436017710.22034/kjm.2018.59751ENRichaBrarDepartment of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.Sukhwinder SinghBillingDepartment of Mathematics, Sri Guru Granth Sahib World University ,
Fatehgarh Sahib-140407, Punjab, India.Journal Article20181129We, 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.http://www.kjm-math.org/article_60177_7ab19b219bbfb0fdfc4ef62533b63751.pdf