Browsing by Author "Owa, Shigeyoshi"

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    Publication
    Notes on certain analytic functions concerning some subordinations
    (Univ Tartu Press, 2019-06-01) Owa, Shigeyoshi; Altınkaya, Sahsene; ALTINKAYA, ŞAHSENE; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Anabilim Dalı.; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; ABC-6175-2020; AAE-9745-2020
    By making use of the principle of subordination, we investigate a certain subclass of analytic functions. Such results as subordination and superordination are given. The related sandwich-type results are also presented.
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    Publication
    On a new class of analytic functions related to fractional calculus
    (Publ House Bulgarian Acad Sci, 2020-01-01) Owa, Shigeyoshi; Altınkaya, Şahsene; ALTINKAYA, ŞAHSENE; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi.; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; AAE-9745-2020
    Let A be the class of analytic functions f with f(0) = 0 and f'(0) = 1 in the open unit disk U. Applying the fractional derivative D-z(lambda) f of order lambda for f is an element of A, a new subclass A(alpha, beta; lambda) of A with 0 <= alpha < 1, beta > 1 and 0 <= lambda < 1 is considered. The object of the present paper is to discuss some interesting properties of this class of functions.