Browsing by Author "Ebadian, Ali"
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Publication New criteria for meromorphic starlikeness and close-to-convexity(Mdpi, 2020-05-01) Ebadian, Ali; Cho, Nak Eun; Adegani, Ebrahim Analouei; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-0243-8263; AAE-9745-2020The main purpose of current paper is to obtain some new criteria for meromorphic strongly starlike functions of order alpha and strongly close-to-convexity of order alpha. Furthermore, the main results presented here are compared with the previous outcomes obtained in this area.Publication Some properties associated to a certain class of starlike functions(Walter, 2019-12-01) Masih, Vali Soltani; Ebadian, Ali; Yalçın, Sibel; YALÇIN TOKGÖZ, SİBEL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0002-0243-8263; AAE-9745-2020; ABC-6175-2020Let A denote the family of analytic functions f with f(0) = f'(0) - 1 = 0, in the open unit disk Delta. We consider a classS-cs(*)(alpha) := {f is an element of A : (zf'(z)/f(z) -1) (sic) z/1+(alpha-1)z-alpha z(2) , z is an element of Delta},where 0 <= alpha <= 1/2, and (sic) is the subordination relation. The methods and techniques of geometric function theory are used to get characteristics of the functions in this class. Further, the sharp inequality for the logarithmic coefficients gamma(n) of f is an element of S-cs(*)(alpha):Sigma(infinity)(n=1) vertical bar gamma n vertical bar(2) <= 1/4(1+alpha)(2) (pi(2)/6 - 2Li(2) (-alpha)+Li-2 (alpha(2))),where Li-2 denotes the dilogarithm function are investigated.Item Univalency and convolution results associated to starlike functions with respect to symmetric points(Publ House Bulgarian Acad, 2020) Aghalary, Rasoul; Ebadian, Ali; Yalçın, Sibel; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; 0000-0002-0243-8263; AAG-5646-2021; AAE-9745-2020; 56207790300In the present paper, the authors introduce some new subclasses of analytic functions in the open unit disc and investigate their inclusion relationships and convolution properties.