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Some subclasses of analytic functions involving certain integral operator

Bukhari Syed Zakar Hussain, Noor Khalida Inayat

Journal of Applied Analysis

2022

Vol. 28, nr 2

285--293

In this paper, we introduce and investigate two new subclasses of analytic functions with bounded boundary and bounded radius rotations by using a certain p-valent operator which complies with the known Carlson-Shaffer operator for p = 1. Both of these operators are heavily explored and have various applications. We investigate some inclusions results and integral preserving properties. We also extend the Ruscheweyh and Sheil-Small convolution preserving properties in the context of these classes. We relate our finding with the existing known results found in the literature regarding this subject.

Applications of convolution properties

Trojnar-Spelina L.

Demonstratio Mathematica

2013

Vol. 46, nr 3

513--523

K. I. Noor (2007 Appl. Math. Comput. 188, 814–823) has defined the classes Qk(a, b, λ, γ) and Tk(a, b, λ, γ) of analytic functions by means of linear operator connected with incomplete beta function. In this paper, we have extended some of the results and have given other properties concerning these classes.

Some relations including various linear operators

Dziok J.

Demonstratio Mathematica

2007

Vol. 40, nr 1

77-84

Making use of the Carlson-Schaer linear operator, some subclasses of analytic functions are studied. Some relations including various linear operators are given.