논문KCI 등재
On the Fekete-Szegö Problem for Starlike Functions of Complex Order
경북대학교 자연과학대학 수학과|2020.09|Kyungpook Mathematical Journal|제60권 제3호|pp. 477-484|DOI 10.5666/KMJ.2020.60.3.477
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초록
For a non-zero complex number b and for m and n in N0 = {0, 1, 2, ...} let Ψn,m(b) denote the class of normalized univalent functions f satisfying the condition [1 + 1/b(Dn+mf(z)/Dnf(z) − 10]>0 in the unit disk U, where Dnf(z) denotes the Salagean operator of f. Sharp bounds for the Fekete-Szegö functional [a3 − µa22] are obtained.
Abstract
For a non-zero complex number b and for m and n in N0 = {0, 1, 2, ...} let Ψn,m(b) denote the class of normalized univalent functions f satisfying the condition [1 + 1/b(Dn+mf(z)/Dnf(z) − 10]>0 in the unit disk U, where Dnf(z) denotes the Salagean operator of f. Sharp bounds for the Fekete-Szegö functional [a3 − µa22] are obtained.
참고문헌 (8)
- M. Darus, "On the Fekete-Szeg¨o theorem for close-to-convex functions", Math. Japon, 44, pp.507~511 (1996)
- M. Darus, "On the Fekete-Szeg¨o theorem for close-to-convex functions", Math. Japon, 47, pp.125~132 (1998)
- M. A. Nasr, "On convex functions of complex order", Mansoura Sci. Bull., pp.565~582 (1982)
- M. A. Nasr, "Starlike function of complex order", J. Natur. Sci. Math, 25, pp.1~12 (1985)
- Mathematische Lehrbucher, "Univalent Functions, Studia Mathematica", pp.1975, C. Pommerenke
- G. S. Salagean, "Subclasses of univalent functions", pp.292~310 (1983), Springer-Verlag
- T. Sekine, "Generalization of certain subclasses of analytic functions", Internat. J. Math. Math. Sci, 10(4), pp.725~732 (1987)
- P. Wiatrowski, "The coefficients of a certain family of holomorphic functions, 39", pp.75~85 (1971)
관련 논문AI추천
FEKETE-SZEG¨O PROBLEM FOR CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONSAllu Vasudevarao대한수학회 · 대한수학회보2015 · 제52권 제6호Fekete-Szego Problem for a Generalized Subclass of Analytic FunctionsHalit Orhan, Murat Caglar, Nihat Yagmur경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호The Fekete-Szegö inequality for subclass of analytic functions of complex orderG. Murugusundaramoorthy, T. Panigrahi장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호Fekete-Szego Inequalities for Quasi-Subordination Functions Classes of Complex OrderRabha El-Ashwah, Stanislawa Kanas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호The Fekete-Szeg"o Problem for A Generalized Subclass of An-alytic FunctionsErhan Deniz, Halit Orhan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2010 · 제50권 제1호On the Fekete-Szegő Problem for a Certain Class of Meromorphic Functions Using q-Derivative OperatorHalit Orhan, Mohamed Kamal Aouf경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제2호
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