Lisansüstü Eğitim Enstitüsü Öğrenci Yayınları

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

Browse

Browsing Lisansüstü Eğitim Enstitüsü Öğrenci Yayınları by Author "Ahuja, Om P."

Filter results by typing the first few letters
Now showing 1 - 6 of 6
  • No Thumbnail Available
    PublicationMetadata only
    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.
  • Thumbnail Image
    PublicationOpen Access
    Faber Polynomial Expansion for a New Subclass of Bi-univalent Functions Endowed with (p,q) Calculus Operators
    (Fuat Usta, 2021) Ahuja, Om P.; ÇETİNKAYA, ASENA
    In this paper, we use the Faber polynomial expansion techniques to get the general TaylorMaclaurin coefficient estimates for |an|, (n ≥ 4) of a generalized class of bi-univalentfunctions by means of (p,q)−calculus, which was introduced by Chakrabarti and Jagannathan. For functions in such a class, we get the initial coefficient estimates for |a2| and|a3|. In particular, the results in this paper generalize or improve (in certain cases) thecorresponding results obtained by recent researchers.
  • Thumbnail Image
    PublicationRestricted
    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.
  • Thumbnail Image
    PublicationRestricted
    q-Analog of Prestarlike Functions
    (Springer International Publishing, 2024) Verma, Sarika; Kumar, Raj; Ahuja, Om P.; ÇETİNKAYA, ASENA
    We introduce a class Rαq of q-prestarlike functions of order α by using q-difference operator. We obtain necessary and sufficient conditions involving convolution for functions to be in the class Rαq. We prove that the well-known class of analytic prestarlike functions, Rα, is properly contained in Rαq. Apart from finding bounds on some initial coefficients of functions in the class Rαq, we also investigate some convolution properties of functions in the class Rαq. The results of the present manuscript essentially generalize some well-known results in the literature. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.
  • Thumbnail Image
    PublicationOpen Access
    Salagean-Type Harmonic Multivalent Functions Defined by Q-Difference Operator
    (Univ Babes-Bolyai, 2022) Ahuja, Om P.; ÇETİNKAYA, ASENA; Mert, Oya
    We introduce a new subclass of Salagean-type harmonic multivalent functions by using q-difference operator. We investigate sufficient coefficient es-timates, distortion bounds, extreme points, convolution properties and neighbor-hood for the functions belonging to this function class.
  • No Thumbnail Available
    PublicationMetadata only
    A Survey on the Theory of Integral and Related Operators in Geometric Function Theory
    (Springer, 2021) Ahuja, Om P.; ÇETİNKAYA, ASENA
    A brief tour of more than one hundred years of the historical development of some of the popular integral and related operators in Geometric Function Theory (GFT) is given in this article. The strengths and discovery of the methods used in these operators lie in their ability to unify a large number of diverse operators and results. We also address some of the q- analogues of the integral operators in GFT. Since there are several surveys and books in GFT, we present here only a selection of the results related to our precise objectives. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.