Differential sandwich theorem for certain class of analytic functions associated with an integral operator

Authors

  • Luminița-Ioana COTÎRLĂ Technical University of Cluj-Napoca, Department of Mathematics, Cluj-Napoca, Romania e-mail: luminita.cotirla@yahoo.com, Luminita.Cotirla@math.utcluj.ro https://orcid.org/0000-0002-0269-0688
  • Adriana CĂTAȘ University of Oradea, Department of Mathematics and Computer Science, 1, University Street, 410087 Oradea, Romania e-mail: acatas@gmail.com https://orcid.org/0000-0002-1000-7375

DOI:

https://doi.org/10.24193/subbmath.2020.4.01

Keywords:

Integral operator, subordination and superordination, analytic functions, sandwich theorem.

Abstract

In this paper we obtain some applications of first order differential subordination and superordination result involving an integral operator for certain normalized analytic function.

Mathematics Subject Classification (2010): 30C45.

References

Bulboaca˘, T., Classes of first-order differential superordinations, Demonstr. Math., 35(2002), no. 2, 287-292.

Bulboaca˘, T., Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.

Miller, S.S., Mocanu, P.T., Differential Subordinations: Theory and Applications, in Series on Monographs and Textbooks in Pure and Applied Mathematics, No. 225, Marcel Dekker, New York, 2000.

Miller, S.S., Mocanu, P.T., Subordinants of differential superordinations, Complex Variables, 48(10)(2003), 815-826.

Miller, S.S., Mocanu, P.T., Briot-Bouquet differential superordinations and sandwich theorems, J. Math., Anal. Appl., 329(2007), no. 1, 327-335.

S˘al˘agean, G. S¸t., Subclasses of univalent functions, Complex Analysis, Fifth Romanian- Finnish Seminar, Part 1 (Bucharest, 1981), Lecture Notes in Math., vol. 1013, Springer, Berlin, 1983, 362-372.

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Published

2020-11-28

How to Cite

COTÎRLĂ, L.-I., & CĂTAȘ, A. (2020). Differential sandwich theorem for certain class of analytic functions associated with an integral operator. Studia Universitatis Babeș-Bolyai Mathematica, 65(4), 487–494. https://doi.org/10.24193/subbmath.2020.4.01

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