Lisansüstü Eğitim Enstitüsü Öğrenci Yayınları

Permanent URI for this collectionhttps://hdl.handle.net/11413/8084

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Browsing Lisansüstü Eğitim Enstitüsü Öğrenci Yayınları by Publisher "Korean Mathematical Society"

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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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    Geometric Properties of Starlikeness Involving Hyperbolic Cosine Function
    (Korean Mathematical Society, 2024) Ahuja, Om P.; ÇETİNKAYA, ASENA; Kumar, Sushil
    In this paper, we investigate some geometric properties of starlikeness connected with the hyperbolic cosine functions defined in the open unit disk. In particular, for the class of such starlike hyperbolic cosine functions, we determine the lower bounds of partial sums, BriotBouquet differential subordination associated with Bernardi integral operator, and bounds on some third Hankel determinants containing initial coefficients.