Some class of analytic functions related to conic domains

Year, pages: 2014, 1183 - 1196

For $q\in (0,1)$ let the $q$-difference operator be defined as follows

$$ ∂_qf(z)=((f(qz)-f(z)) / (z(q-1))) (z\in\mathbb{U}),$$

where $\mathbb{U}$ denotes the open unit disk in a complex plane. Making use of the above operator the extended Ruscheweyh differential operator $R_q^λf$ is defined. Applying $R_q^λf$ a subfamily of analytic functions is defined. Several interesting properties of a defined family of functions are investigated.

Kanas, S., Răducanu, D. 2014. Some class of analytic functions related to conic domains. In Mathematica Slovaca, vol. 64, no.5, pp. 1183-1196. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0268-9

Kanas, S., Răducanu, D. (2014). Some class of analytic functions related to conic domains. Mathematica Slovaca, 64(5), 1183-1196. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0268-9