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

Year 2019, Volume: 68 Issue: 2, 2161 - 2169, 01.08.2019

Murat Çağlar , Halit Orhan

https://doi.org/10.31801/cfsuasmas.515557

Cited By: 3

https://izlik.org/JA64RL98HC

Abstract

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.

Keywords

Neighborhoods , sigmoid function , analytic funcions , Jack's Lemma.

References

• 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.