A certain subclass of analytic functions associated with the quasi-subordination

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DOI:

https://doi.org/10.24193/subbmath.2017.4.06

Keywords:

Subordination, quasi-subordination, starlike functions, conex functions, univalent functions.

Abstract

In the present paper we study quasi-subordination under a multivalent function and we consider a certain subclass of (normalized) analytic functions based on quasi-subordination. Applications and consequences of the main results are also cosidered which some of them extend the earlier issues.

Mathematics Subject Classification (2010): 30C45, 30C80.

References

Altintas, O., Owa, Sh., Majorizations and quasi-subordinations for certain analytic functions, Proc. Japan Acad. Ser. A Math. Sci., 68(1992), no. 7, 181-185.

Janowski, W., Some extremal problems for certain families of analytic functions, Ann. Polon. Math., 28(1973), no. 3, 297-326.

Jurasinska, R., Sokol, J., Some problems for certain family of starlike functions, Math. and Com. Mod., 55(2012), no. 11-12, 2134-2140.

Kanas, S., Differential subordination related to conic sections, J. Math. Anal. Appl., 317(2006), no. 2, 650-658.

Kanas, S., Subordinations for domains bounded by conic sections, Bull. Belg. Math. Soc. Simon Stevin, 15(2008), no. 4, 1-10.

Miller, S.S., Mocanu, P.T., Differential subordinations, theory and applications, Marcel Dekker, Jnc., New York, 2000.

Robertson, M.S., Quasi-subordination and coefficient conjectures, Bull. Amer. Math. Soc., 76(1970), no. 1, 1-9.

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Published

2017-12-30

How to Cite

ARJOMANDINIA, P., & RAHIMPOOR, H. (2017). A certain subclass of analytic functions associated with the quasi-subordination. Studia Universitatis Babeș-Bolyai Mathematica, 62(4), 469–478. https://doi.org/10.24193/subbmath.2017.4.06

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