(θ,μ,τ)-neighborhood for analytic functions involving modified sigmoid function

In the present investigation we discuss the neighborhoods of analytic functions defined by using modified sigmoid function. Further, we also give some applications of Jack's lemma.

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  • Altıntaş, O., Özkan, Ö. and Srivastava, H. M., Neighborhoods of a class of analytic functions with negative coefficients, Appl. Math. Lett. 13 (3), (2000), 63-67.
  • Jack, I. S., Functions starlike and convex of order θ, J. London Math. Soc. 2 (3), (1971), 469-474.
  • Orhan, H. and Kadıoğlu, E., Neighborhoods of a class of analytic functions with negative coefficients, Tamsui Oxford Journal of Math. Sci. 20 (2), (2004), 135-142.
  • Orhan, H. and Kamali, M., Neighborhoods of a class of analytic functions with negative coefficients, Acta Mathematica Academiae Paedagogiace Nyíregyháziensi, 21 (1), (2005), 55-61.
  • Orhan, H., Kamali, M. and Owa, S., On neighborhoods of analytic functions, Proceedings of the International Symposium on Complex Function Theory and Applications, Transilvania University Prointing House, 1-5, Braşov, Romania, ISBN 973-635-8287-5, September 2006.
  • Srivastava, H. M. and Orhan, H., Coefficient inequalities and inclusion for some families of analytic and multivalent functions, Applied Math. Letters 20, (2007), 686-691.
  • Orhan, H., Kadıoğlu, E. and Owa, S., (θ,μ)- Neighborhoods for certain analytic functions, Proceeding Book of the International Symposium on Geometric functions theory and applications, T.C. Istanbul Kultur University Publications, 20-24, Istanbul, Turkey, ISBN 9789756957929, August 2007.
  • Fadipe-Joseph, O. A., Oladipo, A. T. and Ezeafulukwe, U. A., Modified sigmoidfunction in univalent function theory, International Journal of Mathematical Sciences and Engineering Application, 7 (7), (2013), 313-317.
  • Fadipe-Joseph, O. A., Olatunji, S.O., Oladipo, A. T. and Moses, B.O., Certain subclasses of univalent functions, ICWM 2014 Presentation Book, International Congress of Women Mathematicians Seoul, Korea, (2014), 154-157.