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

• Published in: Український математичний журнал
• Date: 2015
• Main Authors: Deniz, E., Orhan, H., Sokół, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165861
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Classes of Analytic Functions Defined by a Differential Operator Related to Conic Domains / E. Deniz, H. Orhan, J. Sokół // Український математичний журнал. — 2015. — Т. 67, № 9. — С. 1217–1231. — Бібліогр.: 34 назв. — англ.

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 subordination and...