Browsing by Author "Altinkaya, Sahsene"
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Publication On salagean type pseudo-starlike functions(Univ Tartu Press, 2017-12-01) Altinkaya, Sahsene; Özkan, Yeşim Sağlam; ALTINKAYA, ŞAHSENE; SAĞLAM ÖZKAN, YEŞİM; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-7950-8450; 0000-0002-1364-5137; AAA-8330-2021; G-5333-2017We construct two new subclasses of univalent functions in the open unit disk U = {z : vertical bar z vertical bar < 1 . For the first class ( pound lambda)(beta) of Salagean type lambda--pseudo-starlike functions, using the sigmoid function, we establish upper bounds for the initial coefficients of the functions in this class. Furthermore, for the second class ( pound lambda)(beta, phi) we obtain Fekete-Szego inequalities. The results presented in this paper generalize the recent work of Babalola.Publication The (p, q)-chebyshev polynomial bounds of a general bi-univalent function class(Springer, 2020-07-01) Altinkaya, Sahsene; ALTINKAYA, ŞAHSENE; Yalcin, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi; 0000-0002-7950-8450; 0000-0002-0243-8263; AAA-8330-2021; AAE-9745-2020In the present paper, we will define the bi-univalent function class S.,mu S ( p, q) related to the ( p, q)-Chebyshev polynomials. Then we will derive the ( p, q)-Chebyshev polynomial bounds for the initial coefficients and determine Fekete-Szego functional for f. S.,mu S ( p, q).