Research Article

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

Volume: 68 Number: 2 August 1, 2019
EN

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

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

References

  1. 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.
  2. Jack, I. S., Functions starlike and convex of order θ, J. London Math. Soc. 2 (3), (1971), 469-474.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

August 1, 2019

Submission Date

January 21, 2019

Acceptance Date

May 31, 2019

Published in Issue

Year 2019 Volume: 68 Number: 2

APA
Çağlar, M., & Orhan, H. (2019). (θ,μ,τ)-neighborhood for analytic functions involving modified sigmoid function. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 2161-2169. https://doi.org/10.31801/cfsuasmas.515557
AMA
1.Çağlar M, Orhan H. (θ,μ,τ)-neighborhood for analytic functions involving modified sigmoid function. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(2):2161-2169. doi:10.31801/cfsuasmas.515557
Chicago
Çağlar, Murat, and Halit Orhan. 2019. “(θ,μ,τ)-Neighborhood for Analytic Functions Involving Modified Sigmoid Function”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 (2): 2161-69. https://doi.org/10.31801/cfsuasmas.515557.
EndNote
Çağlar M, Orhan H (August 1, 2019) (θ,μ,τ)-neighborhood for analytic functions involving modified sigmoid function. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 2 2161–2169.
IEEE
[1]M. Çağlar and H. Orhan, “(θ,μ,τ)-neighborhood for analytic functions involving modified sigmoid function”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 2, pp. 2161–2169, Aug. 2019, doi: 10.31801/cfsuasmas.515557.
ISNAD
Çağlar, Murat - Orhan, Halit. “(θ,μ,τ)-Neighborhood for Analytic Functions Involving Modified Sigmoid Function”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/2 (August 1, 2019): 2161-2169. https://doi.org/10.31801/cfsuasmas.515557.
JAMA
1.Çağlar M, Orhan H. (θ,μ,τ)-neighborhood for analytic functions involving modified sigmoid function. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:2161–2169.
MLA
Çağlar, Murat, and Halit Orhan. “(θ,μ,τ)-Neighborhood for Analytic Functions Involving Modified Sigmoid Function”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 2, Aug. 2019, pp. 2161-9, doi:10.31801/cfsuasmas.515557.
Vancouver
1.Murat Çağlar, Halit Orhan. (θ,μ,τ)-neighborhood for analytic functions involving modified sigmoid function. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019 Aug. 1;68(2):2161-9. doi:10.31801/cfsuasmas.515557

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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