On Harmonic Univalent Functions Defined by Dziok-Srivastava Operator

Main Article Content

Mays S. Abdul Ameer
Abdul Rahman S. Juma
Raheam A. Al-Saphory

Abstract

The purpose of this work is to present a class of harmonic univalent functions defined by the Dziok-Srivastava operator. Some geometric properties like coefficients conditions, distortion theorem, convolution (Hadamard product), convex combination and extreme points are investigated.


2000 Mathematics Subject Classification: 30C45, 30C50

Article Details

How to Cite
Mays S. Abdul Ameer, Abdul Rahman S. Juma, & Raheam A. Al-Saphory. (2022). On Harmonic Univalent Functions Defined by Dziok-Srivastava Operator. Tikrit Journal of Pure Science, 26(1), 128–131. https://doi.org/10.25130/tjps.v26i1.110
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References

[1] Clunie J., Sheil T. (1984). Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A. I. Math.,vol. 9, pp 3-25.

[2] Cotirla L. I. (2009). Harmonic univalent functions defined by an integral operator, A. Univ. Apul., pp95-105.

[3] Gregorczyk M., Widomski J. (2010). Harmonic mappings in the exterior of the unit disk, annales universitatis mariae curie-sklodowska, Vol. lxiv, no. 1, pp63-73.

[4] Janangiri J.M. (1999). Harmonic functions starlike in the unit disc, J. Math. Anal. Appl.,

Vol. 235, pp470–447.

[5] Juma A. R. S. (2010). On harmonic univalent function defined by generalized Salagean derivatives, acta, no.2 3, ,179-188.

[6] Juma A. R. S. and. Kulkarni S. R. (2007). On univalent functions with negative coefficients by using generalized Salagean operator, Filomat, Vol. 21,173-184.

[7] Srivastava H. M. and Gaboury S. (2015). A new class of analytic functions defined by means of a generalization of the Srivastava-Attiya Operator, J. Inequal. Appl. 2015, Article ID 39,

pp1–15.

[8] Srivastava H. M., Juma A. R. S. and Zayed H. M. (2018). On Univalence conditions for an integral operator defined by a generalization of the Srivastava-Attiya operator. Filomat, vol. 32. no. 6, pp2101–2114.

[9] Mahmoud M., Juma A. R. and Al-Saphory R., On bi-univalent functions involving Srivastava-Attiya operator, Italian Journal of Pure and Applied Mathematics, Accepted 2020.

[10] Abdul Ameer M., Juma A. R. and Al-Saphory R., Differential Subordination for Higher-Order Derivatives of Multivalent Functions, Journal of Physics: Conference Series, Accepted 2020.

[11] Abdul Ameer M., Juma A. R. and Al-Saphory R., Harmonic Multivalent Functions Defined by General Integral Operator, Al-Qadisiyah Journal of Pure Science, vol. 26, no. 1, ppMath 1-12, 2021.