arXiv subjects

Om Ahuja

Publications and source records attributed to Om Ahuja.

3 recordsLinked to original sources

arXiv2022

Radii Constants for Functions with Fixed Second Coefficient

We introduce three classes of analytic functions with fixed second coefficient which are defined using the class $\mathcal{P}$ of analytic functions with positive real part. The objective is to determine radii such that the three classes are contained in various subclasses of starlike functions. The radii estimated in the present investigation are better than the radii obtained earlier. Furthermore, connections with previous known results are shown.

math.CV↗

arXiv2021

Mittag-Leffler Operator Connected with Certain Subclasses of Bazileviuc functions

In this paper, we introduce a new generalized class of analytic functions involving the Mittag-Leffler operator and Bazileviuc functions. We examine inclusion properties, radius problems and an application of the generalized Bernardi-Libera-Livingston integral operator for this function class.

math.CV↗

arXiv2021

Analytic functions with conic domains associated with certain generalized q-integral operator

In this paper, we define a new subclass of $k$-uniformly starlike functions of order $γ,\ (0\leqγ<1)$ by using certain generalized $q$-integral operator. We explore geometric interpretation of the functions in this class by connecting it with conic domains. We also investigate $q$-sufficient coefficient condition, $q$-Fekete-Szegö inequalities, $q$-Bieberbach-De Branges type coefficient estimates and radius problem for functions in this class. We conclude this paper by introducing an analogous subclass of $k$-uniformly convex functions of order $γ$ by using the generalized $q$-integral operator. We omit the results for this new class because they can be directly translated from the corresponding results of our main class.

math.CV↗