(α, β, λ, δ, m, Ω)_p−Neighborhood for some families of analytic and multivalent functions

[1] H. Orhan, E. Kadıoğlu and S. Owa, (α,δ)− Neighborhood for certain analytic functions, International Symposium on Geometric Function Theory and Applications (Edited by S. Owa and Y. Polatoğlu), T. C. Istanbul Kultur University Publ., 2008, 207-213.Search in Google Scholar

[2] Miller, S.S and Mocanu, P.T, Second order differential inequalities in the complex plane, J. Math. Anal.Appl., 65, 289-305, (1978).10.1016/0022-247X(78)90181-6Search in Google Scholar

[3] G. S. Sǎlǎgean, Subclasses of univalent functions, Complex analysis – Proc. 5th Rom.-Finn. Semin., Bucharest 1981, Part 1, Lect. Notes Math. 1013 (1983) 362-372.10.1007/BFb0066543Search in Google Scholar

[4] H. M. Srivastava and H. Orhan, Coefficient inequalities and inclusion relations for some families of analytic and multivalent functions, Appl. Math. Lett. 20 (2007), 686-691.10.1016/j.aml.2006.07.009Search in Google Scholar

[5] H. Orhan, Neighborhoods of a certain class of p-valent functions with negative coefficients defined by using a differential operator, Math. Ineq. Appl. Vol. 12, Number 2, (2009), 335-349.10.7153/mia-12-26Search in Google Scholar

[6] F. Sağsöz, and M. Kamali, (φ,α,δ,λ,Ω)_p-Neighborhood for some classes of multivalent functions, J. Ineq. Appl., (2013), 2013:152.10.1186/1029-242X-2013-152Search in Google Scholar

[7] Goodman, A.W, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc. 8, 598-601, (1957).10.1090/S0002-9939-1957-0086879-9Search in Google Scholar

[8] Ruscheweyh, S., Neighborhoods of univalent functions, Proc. Amer. Math. Soc. 81, 521-527, (1981).10.1090/S0002-9939-1981-0601721-6Search in Google Scholar

[9] F. Altuntaş, S. Owa and M. Kamali, (α,δ)_p-Neighborhood for certain class of multivalent functions, PanAmer. Math. J., Vol. 19, (2009), No. 235-46.Search in Google Scholar

[10] Frasin, B. A., (α,β,δ)-Neighborhood for certain analytic functions with negative coefficients, Eur. J. Pure Appl.Math. 4 (1), 14-19 (2011).Search in Google Scholar

[11] I. S. Jack, Functions starlikenes and convex of order α, J. London Math. Soc. 2(3) (1971), 469-474.10.1112/jlms/s2-3.3.469Search in Google Scholar

[12] Walker, J. B., A note on neighborhoods of analytic functions having positive real part, Int. J. Math. Math. Sci. 13, 425-430, (1990).10.1155/S0161171290000643Search in Google Scholar

[13] Owa, S., Saitoh, H. and Nunokawa, M., Neighborhoods of certain analytic functions, Appl. Math. Lett. 6, 73-77, (1993).10.1016/0893-9659(93)90127-9Search in Google Scholar

[14] Altıntaş, O. and Owa, S., Neighborhood for certain analytic functions with negative coefficients, Int. J. Math. Math. Sci. 19, 797-800, (1996).10.1155/S016117129600110XSearch in Google Scholar

[15] Kugita, K., Kuroki, K. and Owa, S., (α,β)-Neighborhood for functions associated with Salagean differential operator and Alexander integral operator, Int. J. Math. Anal. Vol. 4, 2010, No. 5, 211-220.Search in Google Scholar