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Abstrakty
In the present paper, the authors introduce two new subclasses S(sup k) (sub sc) (γ, α β) of close-to-convex functions and C(sup k) (sub sc) (γ, α β) of quasi-convex functions with respect to 2k-symmetric conjugate points. The inclusion and subordination relationships, convolution conditions for these classes are provided. The coefficient inequalities, integral representations and sufficient conditions for functions belonging to these classes are also provided.
Czasopismo
Rocznik
Tom
Strony
167--179
Opis fizyczny
Bibliogr. 10 poz.
Twórcy
autor
autor
- College of Mathematics and Computing Science University of Science and Technology Changsha, 410082 Hunan, People's Republic of China, ypjiang731@163.com
Bibliografia
- [1] H. Al-Amiri, D. Coman and P.T. Mocanu, Some properties of starlike functions with respect to symmetric conjugate points, Internat. J. Math. Math. Sci. 18 (1995), 469-474.
- [2] P.L. Duren, Univalent Functions, Springer-Verlag, New York, 1983.
- [3] C.-Y. Gao and S.-Q. Zhou, A new subclass of close-to-convex functions, Soochow J. Math. 31 (2005), 41-49.
- [4] M.-S. Liu, On a subclass of p-valent close-to-convex functions of order ß and type ?, J. Math. Study 30 (1997), 102-104.
- [5] K.I. Noor, On quasi-convex functions and related topics, Internal. J. Math. Math. Sci. 10 (1987), 241-258.
- [6] S. Owa, M. Nunokawa, H. Saitoh and H.M. Srivastava, Close-to-convexity, starlikeness, and convexity of certain analytic functions, Appl. Math. Lett. 15 (2002), 63-69.
- [7] C. Pommerenke, Univalent Functions, Vandenhoeck and Ruprecht, Göttingen, 1975.
- [8] H.M. Srivastava and S. Owa (Eds.), Current Topics in Analytic Function Theory, World Scientific, Singapore, 1992.
- [9] T.V. Sudharsan, P. Balasubrahmanyam and K.G. Subramanian, On functions starlike with respect to symmetric and conjugate points, Taiwanese J. Math. 2 (1998), 57-68.
- [10] Z.-R. Wu, The integral operator of starlikeness and the family of Bazilevič functions, Acta Math. Sinica 27 (1984), 394-409.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA7-0031-0015