Abstract
For q ∈ (0, 1) let the q-difference operator be defined as follows
where \(\mathbb{U}\) denotes the open unit disk in a complex plane. Making use of the above operator the extended Ruscheweyh differential operator R λ q f is defined. Applying R λ q f a subfamily of analytic functions is defined. Several interesting properties of a defined family of functions are investigated.
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Communicated by Ján Borsík
This work was partially supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge, Faculty of Mathematics and Natural Sciences, University of Rzeszow.
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Kanas, S., Răducanu, D. Some class of analytic functions related to conic domains. Math. Slovaca 64, 1183–1196 (2014). https://doi.org/10.2478/s12175-014-0268-9
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DOI: https://doi.org/10.2478/s12175-014-0268-9