Certain applications of subordination associated with neighborhoods

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

In this paper we introduce the classes $T^p _n (lambda, mu, A, B)$and $K^p _n (lambda, mu, A, B)$, and derive coefficient bounds and distortion inequalities for functions belonging to the class T%(,A,B). Further, we make use of the $(n, delta)$-neighborhoods of functions in both classes $T^p _n (lambda, mu, A, B)$ and $K^p _n (lambda, mu, A, B)$

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[1] Altintas, O. and Shigeyoshi, O. Neighborhoods of certain analytic functions with negative coefficients, Internat. J. Math. Math. Sci. 19 (4), 797–800, 1996.
[2] Altinta¸s, O., Özkan, Ö. and Srivastava, H.M. Neighborhoods of a class of analytic functions with negative coefficients, Appl. Math. Lett. 13 (3), 63–67, 2000.
[3] Altinta¸s, O., Özkan, Ö. and Srivastava, H.M. Neighborhoods of a certain family of multivalent functions with negative coefficients, Comput. Math. Appl. 47 (10-11), 1667–1672, 2004.
[4] Altıntaş, O. Neighborhoods of certain $p$-valently analytic functions with negative coefficients, Appl. Math. Comput. 187 (1), 47–53, 2007.
[5] Altıntaş, O., Irmak, H. and Srivastava, H.M. Neighborhoods for certain subclasses of multivalently analytic functions defined by using a differential operator, Comput. Math. Appl. 55 (3), 331–338, 2008.
[6] Goel, R.M.and Sohi, N. S. Multivalent functions with negative coefficients, Indian J. Pure Appl. Math. 12 (7), 844–853, 1981.
[7] Goodman, A.W. Univalent Functions (Springer-Vorlap, New York, 1983).
[8] Özkan, Ö. and Altintaş, O. On neighborhoods of a certain class of complex order defined by Ruscheweyh derivative operator, JIPAM. J. Inequal. Pure Appl. Math. 7 (3), Article 103, 7 pp. (electronic), 2006.
[9] Ruscheweyh, S. Neighborhoods of univalent functions, Proc. Amer. Math. Soc. 81 (4), 521–527, 1981.