Classes of Analytic Functions Defined by a Differential Operator Related to Conic Domains

• Date: 2015
• Main Authors: Deniz, E., Orhan, H., Sokół, J., Деніз, Е., Орхан, Х., Сокол, Й.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2060
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $A$ be the class of functions $f(z) = z + ∑_{k = 2}^{ ∞} a_k z^k$ analytic in an open unit disc $∆$. We use a generalized linear operator closely related to the multiplier transformation to study certain subclasses of $A$ mapping $∆$ onto conic domains. Using the principle of the differential su...