Browsing by Author "Jain, Naveen Kumar"

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    Analytic Functions With Conic Domains Associated With Certain Generalized q-integral Operator
    (Korean Mathematical Society, 2023) Ahuja, Om P.; ÇETİNKAYA, ASENA; Jain, Naveen Kumar
    In this paper, we define a new subclass of k-uniformly starlike functions of order-gamma (0 <= gamma < 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-Szego 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-gamma 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.
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    Mittag-Leffler Operator Connected with Certain Subclasses of Bazilevic Functions
    (Hindawi Ltd., 2022) Ahuja, Om; ÇETİNKAYA, ASENA; Jain, Naveen Kumar
    In this paper, we introduce a new generalized class of analytic functions involving the Mittag-Leffler operator and Bazilevic functions. We examine inclusion properties, radius problems, and an application of the generalized Bernardi-Libera-Livingston integral operator for this function class.