Lisansüstü Eğitim Enstitüsü Öğrenci Yayınları

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

Browse

Browsing Lisansüstü Eğitim Enstitüsü Öğrenci Yayınları by Subject "Analytic Functions"

Filter results by typing the first few letters
Now showing 1 - 4 of 4
  • Thumbnail Image
    PublicationOpen Access
    Connecting Quantum Calculus and Harmonic Starlike Functions
    (Univ Nis., 2020) Ahuja, O. P.; ÇETİNKAYA, ASENA
    Quantum calculus or q-calculus plays an important role in hypergeometric series, quantum physics, operator theory, approximation theory, sobolev spaces, geometric functions theory and others. But role of q-calculus in the theory of harmonic univalent functions is quite new. In this paper, we make an attempt to connect quantum calculus and harmonic univalent starlike functions. In particular, we introduce and investigate the properties of q-harmonic functions and q-harmonic starlike functions of order alpha.
  • No Thumbnail Available
    PublicationRestricted
    K-Uniformly Multivalent Functions Involving Liu-Owa Q-Integral Operator
    (Scientific and Technological Research Council of Turkey, 2021) ÇETİNKAYA, ASENA
    In this paper, we introduce q-analogue of Liu-Owa integral operator and define k-uniformly multivalent starlike functions of order gamma, (0 <= gamma < p; p is an element of N) by using Liu-Owa q-integral operator. We examine coefficient estimates, growth and distortion bounds for the functions belonging to the subclass of k-uniformly multivalent starlike functions of order gamma. Moreover, we determine radii of k- uniformly starlikeness, convexity and close-to-convexity for the functions belonging to this subclass.
  • 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.
  • 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.