A New Class of Harmonic Univalent Functions of the Salagean Type
Keywords:
Harmonic Univalent Functions, Salagean Derivative, Extreme Points, Distortion Inequalities.
Abstract
A new family of Salagean type harmonic univalent functions is described and investigated. For the functions in this class, we derive coefficient inequalities, extreme points, and distortion limits.
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References
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13. G.S. Salagean, Subclass of univalent functions, Complex Analysis-Fifth Romanian Finish Seminar, Bucharest, 1, 1983,pp. 362–372.
14. H. Silverman, Harmonic univalent function with negative coefficients, J. Math. Anal. Appl. 220 (1998) 283–289.
15. H. Silverman, E.M. Silvia, Subclasses of harmonic univalent functions, New Zealand J. Math. 28 (1999) 275–284.
16. S. Yalcın, A new class of Salagean-type harmonic univalent functions, Applied Mathematics Letters, Vol.18, 2(2005), 191-198.
2. S. Altınkaya, S. Çakmak, S. Yalçın, On a new class of Salagean-type harmonic univalent functions associated with subordination. Honam Math J 40(3), (2018), 433–446.
3. Y. Avcı, E. Zlotkiewicz, On harmonic univalent mappings, Ann. Univ. Mariae Curie Sklodowska Sect. A 44 (1990) 1–7.
4. J. Clunie, T. Sheil-Small, Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9 (1984) 3–25.
5. J. Dziok, JM. Jahangiri, H. Silverman, Harmonic functions with varying coefficients. J Inequal Appl 16,139, 2016.
6. M.I. Hameed, C. Ozel, A. Al-Fayadh and A.R.S. Juma, Study of certain subclasses of analytic functions involving convolution operator, AIP Conference Proceedings, Vol. 2096. No. 1. AIP Publishing LLC, 2019.
7. M. Hameed and I. Ibrahim, Some Applications on Subclasses of Analytic Functions Involving Linear Operator, 2019 International Conference on Computing and Information Science and Technology and Their Applications (ICCISTA). IEEE, 2019.
8. J.M. Jahangiri, Harmonic functions starlike in the unit disk, J. Math. Anal. Appl. 235 (1999) 470–477.
9. J.M. Jahangiri, G. Murugusundaramoorthy, K. Vijaya, Salagean-type harmonic univalent functions, South. J. Pure Appl.Math. 2 (2002) 77–82.
10. S. Jameel Al-Dulaimi and M. I. Hameed, Applications Of Generalized Hypergeometric Analysis Function Of Second Order Differential Subordination, Turkish Journal of Computer and Mathematics Education Vol.12 No. 9 (2021), 3485-3490.
11. A.R.S. Juma, R.A. Hameed and M.I. Hameed, Certain subclass of univalent functions involving fractional q-calculus operator, Journal of Advance in Mathematics 13.4, 2017.
12. A.R.S. Juma, R.A. Hameed and M.I. Hameed, SOME RESULTS OF SECOND ORDER DIFFERENTIAL SUBORDINATION INVOLVING GENERALIZED LINEAR OPERATOR., Acta Universitatis Apulensis No. (53), pp. 19-39, 2018.
13. G.S. Salagean, Subclass of univalent functions, Complex Analysis-Fifth Romanian Finish Seminar, Bucharest, 1, 1983,pp. 362–372.
14. H. Silverman, Harmonic univalent function with negative coefficients, J. Math. Anal. Appl. 220 (1998) 283–289.
15. H. Silverman, E.M. Silvia, Subclasses of harmonic univalent functions, New Zealand J. Math. 28 (1999) 275–284.
16. S. Yalcın, A new class of Salagean-type harmonic univalent functions, Applied Mathematics Letters, Vol.18, 2(2005), 191-198.
Published
2021-08-19
How to Cite
I. Hameed, M., & Buthyna Najad Shihab. (2021). A New Class of Harmonic Univalent Functions of the Salagean Type. Al-Qadisiyah Journal of Pure Science, 26(4), 459–465. https://doi.org/10.29350/qjps.2021.26.4.1387
Section
Special Issue (Silver Jubilee)
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