Some class of analytic functions related to conic domains |
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Authors: | Stanisława Kanas Dorina Răducanu |
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Institution: | 1. Institut of Mathematics, University of Rzeszów, Al. Rejtana 16, PL-35-959, Rzeszów, Poland 2. Department of Mathematics Faculty of Mathematics and Computer Science, Transilvania University of Bra?ov, 50091, Iuliu Maniu 50, Bra?ov, Romania
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Abstract: | For q ∈ (0, 1) let the q-difference operator be defined as follows $$\partial _q f(z) = \frac{{f(qz) - f(z)}} {{z(q - 1)}} (z \in \mathbb{U}),$$ where \(\mathbb{U}\) denotes the open unit disk in a complex plane. Making use of the above operator the extended Ruscheweyh differential operator R q λ f is defined. Applying R q λ f a subfamily of analytic functions is defined. Several interesting properties of a defined family of functions are investigated. |
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