Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

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Coefficient bounds for certain subclasses of analytic functions
Osman Altintas, Oznur Ozkan Kılıc

Last modified: 2014-04-08

Abstract


In this paper, we introduce two subclasses H(\alpha; A;B) and K(\alpha; \mu; m; A;B) of the functions which are analytic in the open unit disk U and obtain coefficient bounds for these functions.

References
[1] Altıntas O., On the coefficients of functions majorized by univalent functions. Hacettepe Bull. Nat. Sci. Eng. 10 , 23–30.(1981).
[2] Altıntas, O., An application on differential subordination. International conference on mathematical science, November 23–27, 2010, Bolu,Turkey. AIP Conference Proceedings 1309.
[3] Altınta¸s O., Certain application of ubordination associated with neighborhoods. Haettepe Journal of Mathematics and Statistics. Vol 39(4)187 , 527–534. (2010).
[4] Owa S., Shen C. Y., Certain subclass ofanalytic functions. Math. Japonica 34 , no. 3, 409–412.(1989).
[5] Srivastava, H. M., Altinta¸s O. and Serenbay S.K., Coefficient bounds for certain subclasses of starlike functions of complex order. Appl. Math. Lett. 24 , no. 8, 1359–1363.(2011).


Keywords


Analytic function, Subordination, Cauchy-Euler Differential equations, Non-Homogenous differential equations.